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Finding the Fourth Proportional to 83,199.43, 114,813.53 and 45,473.95

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Solution

The fourth proportional to 83,199.43, 114,813.53 and 45,473.95 is: 62,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,199.43 : 114,813.53 = 45,473.95 : x
  2. Step 2: Convert to fraction form
    83,199.43/114,813.53 = 45,473.95/x
  3. Step 3: Cross multiply
    83,199.43x = 114,813.53 × 45,473.95
  4. Step 4: Simplify right side
    83,199.43x = 5,221,024,495.17
  5. Step 5: Solve for x
    x = 5,221,024,495.17/83,199.43
  6. Step 6: Final answer
    x = 62,753.13

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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.