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Finding the Fourth Proportional to 65,013.40, 97,344.83 and 42,468.24

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Solution

The fourth proportional to 65,013.40, 97,344.83 and 42,468.24 is: 63,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.40 : 97,344.83 = 42,468.24 : x
  2. Step 2: Convert to fraction form
    65,013.40/97,344.83 = 42,468.24/x
  3. Step 3: Cross multiply
    65,013.40x = 97,344.83 × 42,468.24
  4. Step 4: Simplify right side
    65,013.40x = 4,134,063,709.37
  5. Step 5: Solve for x
    x = 4,134,063,709.37/65,013.40
  6. Step 6: Final answer
    x = 63,587.87

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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.