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Finding the Fourth Proportional to 74,149.38, 102,316.32 and 42,316.38

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Solution

The fourth proportional to 74,149.38, 102,316.32 and 42,316.38 is: 58,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,149.38 : 102,316.32 = 42,316.38 : x
  2. Step 2: Convert to fraction form
    74,149.38/102,316.32 = 42,316.38/x
  3. Step 3: Cross multiply
    74,149.38x = 102,316.32 × 42,316.38
  4. Step 4: Simplify right side
    74,149.38x = 4,329,656,277.32
  5. Step 5: Solve for x
    x = 4,329,656,277.32/74,149.38
  6. Step 6: Final answer
    x = 58,391.00

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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.