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Finding the Fourth Proportional to 83,637, 125,474.94 and 28,233

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Solution

The fourth proportional to 83,637, 125,474.94 and 28,233 is: 42,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,637 : 125,474.94 = 28,233 : x
  2. Step 2: Convert to fraction form
    83,637/125,474.94 = 28,233/x
  3. Step 3: Cross multiply
    83,637x = 125,474.94 × 28,233
  4. Step 4: Simplify right side
    83,637x = 3,542,533,981.02
  5. Step 5: Solve for x
    x = 3,542,533,981.02/83,637
  6. Step 6: Final answer
    x = 42,356.06

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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.