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Finding the Fourth Proportional to 71,294.85, 98,389.22 and 41,077.80

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Solution

The fourth proportional to 71,294.85, 98,389.22 and 41,077.80 is: 56,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.85 : 98,389.22 = 41,077.80 : x
  2. Step 2: Convert to fraction form
    71,294.85/98,389.22 = 41,077.80/x
  3. Step 3: Cross multiply
    71,294.85x = 98,389.22 × 41,077.80
  4. Step 4: Simplify right side
    71,294.85x = 4,041,612,495.93
  5. Step 5: Solve for x
    x = 4,041,612,495.93/71,294.85
  6. Step 6: Final answer
    x = 56,688.70

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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.