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Finding the Fourth Proportional to 89,154.22, 133,680.30 and 36,535

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Solution

The fourth proportional to 89,154.22, 133,680.30 and 36,535 is: 54,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,154.22 : 133,680.30 = 36,535 : x
  2. Step 2: Convert to fraction form
    89,154.22/133,680.30 = 36,535/x
  3. Step 3: Cross multiply
    89,154.22x = 133,680.30 × 36,535
  4. Step 4: Simplify right side
    89,154.22x = 4,884,009,760.50
  5. Step 5: Solve for x
    x = 4,884,009,760.50/89,154.22
  6. Step 6: Final answer
    x = 54,781.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.