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Finding the Fourth Proportional to 32,278.47, 48,420.49 and 8,904.90

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Solution

The fourth proportional to 32,278.47, 48,420.49 and 8,904.90 is: 13,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278.47 : 48,420.49 = 8,904.90 : x
  2. Step 2: Convert to fraction form
    32,278.47/48,420.49 = 8,904.90/x
  3. Step 3: Cross multiply
    32,278.47x = 48,420.49 × 8,904.90
  4. Step 4: Simplify right side
    32,278.47x = 431,179,797.41
  5. Step 5: Solve for x
    x = 431,179,797.41/32,278.47
  6. Step 6: Final answer
    x = 13,358.13

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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.