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Finding the Fourth Proportional to 74,324.78, 102,567.66 and 40,332.40

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Solution

The fourth proportional to 74,324.78, 102,567.66 and 40,332.40 is: 55,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,324.78 : 102,567.66 = 40,332.40 : x
  2. Step 2: Convert to fraction form
    74,324.78/102,567.66 = 40,332.40/x
  3. Step 3: Cross multiply
    74,324.78x = 102,567.66 × 40,332.40
  4. Step 4: Simplify right side
    74,324.78x = 4,136,799,890.18
  5. Step 5: Solve for x
    x = 4,136,799,890.18/74,324.78
  6. Step 6: Final answer
    x = 55,658.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.