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Finding the Fourth Proportional to 71,045.86, 98,043.29 and 39,214.76

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Solution

The fourth proportional to 71,045.86, 98,043.29 and 39,214.76 is: 54,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,045.86 : 98,043.29 = 39,214.76 : x
  2. Step 2: Convert to fraction form
    71,045.86/98,043.29 = 39,214.76/x
  3. Step 3: Cross multiply
    71,045.86x = 98,043.29 × 39,214.76
  4. Step 4: Simplify right side
    71,045.86x = 3,844,744,350.45
  5. Step 5: Solve for x
    x = 3,844,744,350.45/71,045.86
  6. Step 6: Final answer
    x = 54,116.38

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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.