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Finding the Fourth Proportional to 83,226, 114,851.88 and 45,500.52

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Solution

The fourth proportional to 83,226, 114,851.88 and 45,500.52 is: 62,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226 : 114,851.88 = 45,500.52 : x
  2. Step 2: Convert to fraction form
    83,226/114,851.88 = 45,500.52/x
  3. Step 3: Cross multiply
    83,226x = 114,851.88 × 45,500.52
  4. Step 4: Simplify right side
    83,226x = 5,225,820,262.98
  5. Step 5: Solve for x
    x = 5,225,820,262.98/83,226
  6. Step 6: Final answer
    x = 62,790.72

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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.