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Finding the Fourth Proportional to 65,024.68, 89,734.17 and 35,216.68

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Solution

The fourth proportional to 65,024.68, 89,734.17 and 35,216.68 is: 48,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.68 : 89,734.17 = 35,216.68 : x
  2. Step 2: Convert to fraction form
    65,024.68/89,734.17 = 35,216.68/x
  3. Step 3: Cross multiply
    65,024.68x = 89,734.17 × 35,216.68
  4. Step 4: Simplify right side
    65,024.68x = 3,160,139,549.96
  5. Step 5: Solve for x
    x = 3,160,139,549.96/65,024.68
  6. Step 6: Final answer
    x = 48,599.08

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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.