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Finding the Fourth Proportional to 48,470.64, 72,631.74 and 32,616.90

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Solution

The fourth proportional to 48,470.64, 72,631.74 and 32,616.90 is: 48,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,470.64 : 72,631.74 = 32,616.90 : x
  2. Step 2: Convert to fraction form
    48,470.64/72,631.74 = 32,616.90/x
  3. Step 3: Cross multiply
    48,470.64x = 72,631.74 × 32,616.90
  4. Step 4: Simplify right side
    48,470.64x = 2,369,022,200.41
  5. Step 5: Solve for x
    x = 2,369,022,200.41/48,470.64
  6. Step 6: Final answer
    x = 48,875.41

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Why These Related Problems?

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