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Finding the Fourth Proportional to 65,510.70, 98,266.05 and 38,829.30

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Solution

The fourth proportional to 65,510.70, 98,266.05 and 38,829.30 is: 58,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,510.70 : 98,266.05 = 38,829.30 : x
  2. Step 2: Convert to fraction form
    65,510.70/98,266.05 = 38,829.30/x
  3. Step 3: Cross multiply
    65,510.70x = 98,266.05 × 38,829.30
  4. Step 4: Simplify right side
    65,510.70x = 3,815,601,935.27
  5. Step 5: Solve for x
    x = 3,815,601,935.27/65,510.70
  6. Step 6: Final answer
    x = 58,243.95

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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.