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Finding the Fourth Proportional to 82,953.59, 114,475.68 and 45,227.84

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Solution

The fourth proportional to 82,953.59, 114,475.68 and 45,227.84 is: 62,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953.59 : 114,475.68 = 45,227.84 : x
  2. Step 2: Convert to fraction form
    82,953.59/114,475.68 = 45,227.84/x
  3. Step 3: Cross multiply
    82,953.59x = 114,475.68 × 45,227.84
  4. Step 4: Simplify right side
    82,953.59x = 5,177,487,166.55
  5. Step 5: Solve for x
    x = 5,177,487,166.55/82,953.59
  6. Step 6: Final answer
    x = 62,414.27

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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.