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Finding the Fourth Proportional to 71,042.70, 98,038.74 and 39,211.38

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Solution

The fourth proportional to 71,042.70, 98,038.74 and 39,211.38 is: 54,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,042.70 : 98,038.74 = 39,211.38 : x
  2. Step 2: Convert to fraction form
    71,042.70/98,038.74 = 39,211.38/x
  3. Step 3: Cross multiply
    71,042.70x = 98,038.74 × 39,211.38
  4. Step 4: Simplify right side
    71,042.70x = 3,844,234,288.86
  5. Step 5: Solve for x
    x = 3,844,234,288.86/71,042.70
  6. Step 6: Final answer
    x = 54,111.60

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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.