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Finding the Fourth Proportional to 83,251.68, 114,890.07 and 45,525.93

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Solution

The fourth proportional to 83,251.68, 114,890.07 and 45,525.93 is: 62,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,251.68 : 114,890.07 = 45,525.93 : x
  2. Step 2: Convert to fraction form
    83,251.68/114,890.07 = 45,525.93/x
  3. Step 3: Cross multiply
    83,251.68x = 114,890.07 × 45,525.93
  4. Step 4: Simplify right side
    83,251.68x = 5,230,477,284.52
  5. Step 5: Solve for x
    x = 5,230,477,284.52/83,251.68
  6. Step 6: Final answer
    x = 62,827.29

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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.