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Finding the Fourth Proportional to 99,793.02, 137,710.92 and 59,486

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Solution

The fourth proportional to 99,793.02, 137,710.92 and 59,486 is: 82,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,793.02 : 137,710.92 = 59,486 : x
  2. Step 2: Convert to fraction form
    99,793.02/137,710.92 = 59,486/x
  3. Step 3: Cross multiply
    99,793.02x = 137,710.92 × 59,486
  4. Step 4: Simplify right side
    99,793.02x = 8,191,871,787.12
  5. Step 5: Solve for x
    x = 8,191,871,787.12/99,793.02
  6. Step 6: Final answer
    x = 82,088.62

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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.