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Finding the Fourth Proportional to 83,062.74, 114,625.80 and 45,337.02

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Solution

The fourth proportional to 83,062.74, 114,625.80 and 45,337.02 is: 62,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,062.74 : 114,625.80 = 45,337.02 : x
  2. Step 2: Convert to fraction form
    83,062.74/114,625.80 = 45,337.02/x
  3. Step 3: Cross multiply
    83,062.74x = 114,625.80 × 45,337.02
  4. Step 4: Simplify right side
    83,062.74x = 5,196,792,187.12
  5. Step 5: Solve for x
    x = 5,196,792,187.12/83,062.74
  6. Step 6: Final answer
    x = 62,564.66

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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.