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Finding the Fourth Proportional to 65,807.17, 98,729.88 and 23,686.49

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Solution

The fourth proportional to 65,807.17, 98,729.88 and 23,686.49 is: 35,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807.17 : 98,729.88 = 23,686.49 : x
  2. Step 2: Convert to fraction form
    65,807.17/98,729.88 = 23,686.49/x
  3. Step 3: Cross multiply
    65,807.17x = 98,729.88 × 23,686.49
  4. Step 4: Simplify right side
    65,807.17x = 2,338,564,562.15
  5. Step 5: Solve for x
    x = 2,338,564,562.15/65,807.17
  6. Step 6: Final answer
    x = 35,536.62

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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.