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Finding the Fourth Proportional to 83,378.17, 115,061 and 45,136.86

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Solution

The fourth proportional to 83,378.17, 115,061 and 45,136.86 is: 62,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.17 : 115,061 = 45,136.86 : x
  2. Step 2: Convert to fraction form
    83,378.17/115,061 = 45,136.86/x
  3. Step 3: Cross multiply
    83,378.17x = 115,061 × 45,136.86
  4. Step 4: Simplify right side
    83,378.17x = 5,193,492,248.46
  5. Step 5: Solve for x
    x = 5,193,492,248.46/83,378.17
  6. Step 6: Final answer
    x = 62,288.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.