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Finding the Fourth Proportional to 31,204,048.80, 46,722,092.40 and 31,204,048.80

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Solution

The fourth proportional to 31,204,048.80, 46,722,092.40 and 31,204,048.80 is: 46,722,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204,048.80 : 46,722,092.40 = 31,204,048.80 : x
  2. Step 2: Convert to fraction form
    31,204,048.80/46,722,092.40 = 31,204,048.80/x
  3. Step 3: Cross multiply
    31,204,048.80x = 46,722,092.40 × 31,204,048.80
  4. Step 4: Simplify right side
    31,204,048.80x = 1,457,918,451,287,709
  5. Step 5: Solve for x
    x = 1,457,918,451,287,709/31,204,048.80
  6. Step 6: Final answer
    x = 46,722,092.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.