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Finding the Fourth Proportional to 74,030.38, 102,137.07 and 42,176.86

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Solution

The fourth proportional to 74,030.38, 102,137.07 and 42,176.86 is: 58,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,030.38 : 102,137.07 = 42,176.86 : x
  2. Step 2: Convert to fraction form
    74,030.38/102,137.07 = 42,176.86/x
  3. Step 3: Cross multiply
    74,030.38x = 102,137.07 × 42,176.86
  4. Step 4: Simplify right side
    74,030.38x = 4,307,820,902.20
  5. Step 5: Solve for x
    x = 4,307,820,902.20/74,030.38
  6. Step 6: Final answer
    x = 58,189.91

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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.