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Finding the Fourth Proportional to 48,410.68, 72,614.04 and 13,349.40

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Solution

The fourth proportional to 48,410.68, 72,614.04 and 13,349.40 is: 20,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,410.68 : 72,614.04 = 13,349.40 : x
  2. Step 2: Convert to fraction form
    48,410.68/72,614.04 = 13,349.40/x
  3. Step 3: Cross multiply
    48,410.68x = 72,614.04 × 13,349.40
  4. Step 4: Simplify right side
    48,410.68x = 969,353,865.58
  5. Step 5: Solve for x
    x = 969,353,865.58/48,410.68
  6. Step 6: Final answer
    x = 20,023.55

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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.