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Finding the Fourth Proportional to 58,413, 87,802.40 and 38,550.13

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Solution

The fourth proportional to 58,413, 87,802.40 and 38,550.13 is: 57,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,413 : 87,802.40 = 38,550.13 : x
  2. Step 2: Convert to fraction form
    58,413/87,802.40 = 38,550.13/x
  3. Step 3: Cross multiply
    58,413x = 87,802.40 × 38,550.13
  4. Step 4: Simplify right side
    58,413x = 3,384,793,934.31
  5. Step 5: Solve for x
    x = 3,384,793,934.31/58,413
  6. Step 6: Final answer
    x = 57,945.90

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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.