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Finding the Fourth Proportional to 74,211.90, 102,387.50 and 42,358.38

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Solution

The fourth proportional to 74,211.90, 102,387.50 and 42,358.38 is: 58,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,211.90 : 102,387.50 = 42,358.38 : x
  2. Step 2: Convert to fraction form
    74,211.90/102,387.50 = 42,358.38/x
  3. Step 3: Cross multiply
    74,211.90x = 102,387.50 × 42,358.38
  4. Step 4: Simplify right side
    74,211.90x = 4,336,968,632.25
  5. Step 5: Solve for x
    x = 4,336,968,632.25/74,211.90
  6. Step 6: Final answer
    x = 58,440.34

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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.