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Finding the Fourth Proportional to 96,384.50, 132,994.80 and 60,549.14

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Solution

The fourth proportional to 96,384.50, 132,994.80 and 60,549.14 is: 83,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,384.50 : 132,994.80 = 60,549.14 : x
  2. Step 2: Convert to fraction form
    96,384.50/132,994.80 = 60,549.14/x
  3. Step 3: Cross multiply
    96,384.50x = 132,994.80 × 60,549.14
  4. Step 4: Simplify right side
    96,384.50x = 8,052,720,869.90
  5. Step 5: Solve for x
    x = 8,052,720,869.90/96,384.50
  6. Step 6: Final answer
    x = 83,547.88

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Why These Related Problems?

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