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Finding the Fourth Proportional to 71,006.78, 98,020.50 and 47,153.90

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Solution

The fourth proportional to 71,006.78, 98,020.50 and 47,153.90 is: 65,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,006.78 : 98,020.50 = 47,153.90 : x
  2. Step 2: Convert to fraction form
    71,006.78/98,020.50 = 47,153.90/x
  3. Step 3: Cross multiply
    71,006.78x = 98,020.50 × 47,153.90
  4. Step 4: Simplify right side
    71,006.78x = 4,622,048,854.95
  5. Step 5: Solve for x
    x = 4,622,048,854.95/71,006.78
  6. Step 6: Final answer
    x = 65,093.06

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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.