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Finding the Fourth Proportional to 65,542.99, 97,869.90 and 52,064.69

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Solution

The fourth proportional to 65,542.99, 97,869.90 and 52,064.69 is: 77,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,542.99 : 97,869.90 = 52,064.69 : x
  2. Step 2: Convert to fraction form
    65,542.99/97,869.90 = 52,064.69/x
  3. Step 3: Cross multiply
    65,542.99x = 97,869.90 × 52,064.69
  4. Step 4: Simplify right side
    65,542.99x = 5,095,566,260.24
  5. Step 5: Solve for x
    x = 5,095,566,260.24/65,542.99
  6. Step 6: Final answer
    x = 77,743.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.