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Finding the Fourth Proportional to 32,429.64, 48,657.18 and 12,704.82

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Solution

The fourth proportional to 32,429.64, 48,657.18 and 12,704.82 is: 19,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.64 : 48,657.18 = 12,704.82 : x
  2. Step 2: Convert to fraction form
    32,429.64/48,657.18 = 12,704.82/x
  3. Step 3: Cross multiply
    32,429.64x = 48,657.18 × 12,704.82
  4. Step 4: Simplify right side
    32,429.64x = 618,180,713.61
  5. Step 5: Solve for x
    x = 618,180,713.61/32,429.64
  6. Step 6: Final answer
    x = 19,062.21

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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.