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Finding the Fourth Proportional to 65,059.50, 89,782.17 and 35,251.50

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Solution

The fourth proportional to 65,059.50, 89,782.17 and 35,251.50 is: 48,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059.50 : 89,782.17 = 35,251.50 : x
  2. Step 2: Convert to fraction form
    65,059.50/89,782.17 = 35,251.50/x
  3. Step 3: Cross multiply
    65,059.50x = 89,782.17 × 35,251.50
  4. Step 4: Simplify right side
    65,059.50x = 3,164,956,165.76
  5. Step 5: Solve for x
    x = 3,164,956,165.76/65,059.50
  6. Step 6: Final answer
    x = 48,647.10

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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.