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Finding the Fourth Proportional to 65,098.50, 89,835.12 and 38,243.46

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Solution

The fourth proportional to 65,098.50, 89,835.12 and 38,243.46 is: 52,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,098.50 : 89,835.12 = 38,243.46 : x
  2. Step 2: Convert to fraction form
    65,098.50/89,835.12 = 38,243.46/x
  3. Step 3: Cross multiply
    65,098.50x = 89,835.12 × 38,243.46
  4. Step 4: Simplify right side
    65,098.50x = 3,435,605,818.32
  5. Step 5: Solve for x
    x = 3,435,605,818.32/65,098.50
  6. Step 6: Final answer
    x = 52,775.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.