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Finding the Fourth Proportional to 83,563.20, 125,456.04 and 48,528

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Solution

The fourth proportional to 83,563.20, 125,456.04 and 48,528 is: 72,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,563.20 : 125,456.04 = 48,528 : x
  2. Step 2: Convert to fraction form
    83,563.20/125,456.04 = 48,528/x
  3. Step 3: Cross multiply
    83,563.20x = 125,456.04 × 48,528
  4. Step 4: Simplify right side
    83,563.20x = 6,088,130,709.12
  5. Step 5: Solve for x
    x = 6,088,130,709.12/83,563.20
  6. Step 6: Final answer
    x = 72,856.60

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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.