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Finding the Fourth Proportional to 65,352, 97,872 and 37,591.68

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Solution

The fourth proportional to 65,352, 97,872 and 37,591.68 is: 56,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,352 : 97,872 = 37,591.68 : x
  2. Step 2: Convert to fraction form
    65,352/97,872 = 37,591.68/x
  3. Step 3: Cross multiply
    65,352x = 97,872 × 37,591.68
  4. Step 4: Simplify right side
    65,352x = 3,679,172,904.96
  5. Step 5: Solve for x
    x = 3,679,172,904.96/65,352
  6. Step 6: Final answer
    x = 56,297.79

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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.