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Finding the Fourth Proportional to 74,192.35, 102,420.90 and 42,355.09

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Solution

The fourth proportional to 74,192.35, 102,420.90 and 42,355.09 is: 58,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,192.35 : 102,420.90 = 42,355.09 : x
  2. Step 2: Convert to fraction form
    74,192.35/102,420.90 = 42,355.09/x
  3. Step 3: Cross multiply
    74,192.35x = 102,420.90 × 42,355.09
  4. Step 4: Simplify right side
    74,192.35x = 4,338,046,437.38
  5. Step 5: Solve for x
    x = 4,338,046,437.38/74,192.35
  6. Step 6: Final answer
    x = 58,470.27

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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.