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Finding the Fourth Proportional to 46,057.80, 69,046.20 and 27,291.72

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Solution

The fourth proportional to 46,057.80, 69,046.20 and 27,291.72 is: 40,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,057.80 : 69,046.20 = 27,291.72 : x
  2. Step 2: Convert to fraction form
    46,057.80/69,046.20 = 27,291.72/x
  3. Step 3: Cross multiply
    46,057.80x = 69,046.20 × 27,291.72
  4. Step 4: Simplify right side
    46,057.80x = 1,884,389,557.46
  5. Step 5: Solve for x
    x = 1,884,389,557.46/46,057.80
  6. Step 6: Final answer
    x = 40,913.58

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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.