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Finding the Fourth Proportional to 32,641.92, 48,963.20 and 12,925.28

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Solution

The fourth proportional to 32,641.92, 48,963.20 and 12,925.28 is: 19,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641.92 : 48,963.20 = 12,925.28 : x
  2. Step 2: Convert to fraction form
    32,641.92/48,963.20 = 12,925.28/x
  3. Step 3: Cross multiply
    32,641.92x = 48,963.20 × 12,925.28
  4. Step 4: Simplify right side
    32,641.92x = 632,863,069.70
  5. Step 5: Solve for x
    x = 632,863,069.70/32,641.92
  6. Step 6: Final answer
    x = 19,388.05

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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.