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Finding the Fourth Proportional to 83,073.99, 114,642.50 and 45,348.51

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Solution

The fourth proportional to 83,073.99, 114,642.50 and 45,348.51 is: 62,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,073.99 : 114,642.50 = 45,348.51 : x
  2. Step 2: Convert to fraction form
    83,073.99/114,642.50 = 45,348.51/x
  3. Step 3: Cross multiply
    83,073.99x = 114,642.50 × 45,348.51
  4. Step 4: Simplify right side
    83,073.99x = 5,198,866,330.93
  5. Step 5: Solve for x
    x = 5,198,866,330.93/83,073.99
  6. Step 6: Final answer
    x = 62,581.16

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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.