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Finding the Fourth Proportional to 65,249.64, 97,874.52 and 16,001.64

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Solution

The fourth proportional to 65,249.64, 97,874.52 and 16,001.64 is: 24,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,249.64 : 97,874.52 = 16,001.64 : x
  2. Step 2: Convert to fraction form
    65,249.64/97,874.52 = 16,001.64/x
  3. Step 3: Cross multiply
    65,249.64x = 97,874.52 × 16,001.64
  4. Step 4: Simplify right side
    65,249.64x = 1,566,152,834.21
  5. Step 5: Solve for x
    x = 1,566,152,834.21/65,249.64
  6. Step 6: Final answer
    x = 24,002.47

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