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Finding the Fourth Proportional to 65,127.76, 97,723.06 and 56,710.24

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Solution

The fourth proportional to 65,127.76, 97,723.06 and 56,710.24 is: 85,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,127.76 : 97,723.06 = 56,710.24 : x
  2. Step 2: Convert to fraction form
    65,127.76/97,723.06 = 56,710.24/x
  3. Step 3: Cross multiply
    65,127.76x = 97,723.06 × 56,710.24
  4. Step 4: Simplify right side
    65,127.76x = 5,541,897,800.05
  5. Step 5: Solve for x
    x = 5,541,897,800.05/65,127.76
  6. Step 6: Final answer
    x = 85,092.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.