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Finding the Fourth Proportional to 65,562, 98,343.27 and 24,009

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Solution

The fourth proportional to 65,562, 98,343.27 and 24,009 is: 36,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,562 : 98,343.27 = 24,009 : x
  2. Step 2: Convert to fraction form
    65,562/98,343.27 = 24,009/x
  3. Step 3: Cross multiply
    65,562x = 98,343.27 × 24,009
  4. Step 4: Simplify right side
    65,562x = 2,361,123,569.43
  5. Step 5: Solve for x
    x = 2,361,123,569.43/65,562
  6. Step 6: Final answer
    x = 36,013.60

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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.