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Finding the Fourth Proportional to 82,527.75, 113,889.69 and 44,802

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Solution

The fourth proportional to 82,527.75, 113,889.69 and 44,802 is: 61,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,527.75 : 113,889.69 = 44,802 : x
  2. Step 2: Convert to fraction form
    82,527.75/113,889.69 = 44,802/x
  3. Step 3: Cross multiply
    82,527.75x = 113,889.69 × 44,802
  4. Step 4: Simplify right side
    82,527.75x = 5,102,485,891.38
  5. Step 5: Solve for x
    x = 5,102,485,891.38/82,527.75
  6. Step 6: Final answer
    x = 61,827.52

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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.