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Finding the Fourth Proportional to 83,657.44, 125,504.88 and 28,252

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Solution

The fourth proportional to 83,657.44, 125,504.88 and 28,252 is: 42,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.44 : 125,504.88 = 28,252 : x
  2. Step 2: Convert to fraction form
    83,657.44/125,504.88 = 28,252/x
  3. Step 3: Cross multiply
    83,657.44x = 125,504.88 × 28,252
  4. Step 4: Simplify right side
    83,657.44x = 3,545,763,869.76
  5. Step 5: Solve for x
    x = 3,545,763,869.76/83,657.44
  6. Step 6: Final answer
    x = 42,384.32

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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.