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Finding the Fourth Proportional to 65,622.78, 98,447.16 and 24,070.14

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Solution

The fourth proportional to 65,622.78, 98,447.16 and 24,070.14 is: 36,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,622.78 : 98,447.16 = 24,070.14 : x
  2. Step 2: Convert to fraction form
    65,622.78/98,447.16 = 24,070.14/x
  3. Step 3: Cross multiply
    65,622.78x = 98,447.16 × 24,070.14
  4. Step 4: Simplify right side
    65,622.78x = 2,369,636,923.80
  5. Step 5: Solve for x
    x = 2,369,636,923.80/65,622.78
  6. Step 6: Final answer
    x = 36,109.97

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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.