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Finding the Fourth Proportional to 32,594.49, 48,891.74 and 20,981.52

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Solution

The fourth proportional to 32,594.49, 48,891.74 and 20,981.52 is: 31,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.49 : 48,891.74 = 20,981.52 : x
  2. Step 2: Convert to fraction form
    32,594.49/48,891.74 = 20,981.52/x
  3. Step 3: Cross multiply
    32,594.49x = 48,891.74 × 20,981.52
  4. Step 4: Simplify right side
    32,594.49x = 1,025,822,915.74
  5. Step 5: Solve for x
    x = 1,025,822,915.74/32,594.49
  6. Step 6: Final answer
    x = 31,472.28

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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.