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Finding the Fourth Proportional to 82,763.76, 114,212.88 and 45,037.92

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Solution

The fourth proportional to 82,763.76, 114,212.88 and 45,037.92 is: 62,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763.76 : 114,212.88 = 45,037.92 : x
  2. Step 2: Convert to fraction form
    82,763.76/114,212.88 = 45,037.92/x
  3. Step 3: Cross multiply
    82,763.76x = 114,212.88 × 45,037.92
  4. Step 4: Simplify right side
    82,763.76x = 5,143,910,552.41
  5. Step 5: Solve for x
    x = 5,143,910,552.41/82,763.76
  6. Step 6: Final answer
    x = 62,151.73

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1.5x scale

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.