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Finding the Fourth Proportional to 48,725.80, 73,117.86 and 21,023.80

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Solution

The fourth proportional to 48,725.80, 73,117.86 and 21,023.80 is: 31,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,725.80 : 73,117.86 = 21,023.80 : x
  2. Step 2: Convert to fraction form
    48,725.80/73,117.86 = 21,023.80/x
  3. Step 3: Cross multiply
    48,725.80x = 73,117.86 × 21,023.80
  4. Step 4: Simplify right side
    48,725.80x = 1,537,214,794.36
  5. Step 5: Solve for x
    x = 1,537,214,794.36/48,725.80
  6. Step 6: Final answer
    x = 31,548.28

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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.