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Finding the Fourth Proportional to 65,965.91, 98,948.94 and 16,045.66

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Solution

The fourth proportional to 65,965.91, 98,948.94 and 16,045.66 is: 24,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,965.91 : 98,948.94 = 16,045.66 : x
  2. Step 2: Convert to fraction form
    65,965.91/98,948.94 = 16,045.66/x
  3. Step 3: Cross multiply
    65,965.91x = 98,948.94 × 16,045.66
  4. Step 4: Simplify right side
    65,965.91x = 1,587,700,553.86
  5. Step 5: Solve for x
    x = 1,587,700,553.86/65,965.91
  6. Step 6: Final answer
    x = 24,068.50

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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.