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Finding the Fourth Proportional to 62,192.86, 93,367.32 and 49,866.46

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Solution

The fourth proportional to 62,192.86, 93,367.32 and 49,866.46 is: 74,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,192.86 : 93,367.32 = 49,866.46 : x
  2. Step 2: Convert to fraction form
    62,192.86/93,367.32 = 49,866.46/x
  3. Step 3: Cross multiply
    62,192.86x = 93,367.32 × 49,866.46
  4. Step 4: Simplify right side
    62,192.86x = 4,655,897,728.09
  5. Step 5: Solve for x
    x = 4,655,897,728.09/62,192.86
  6. Step 6: Final answer
    x = 74,862.25

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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.