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Finding the Fourth Proportional to 82,776.32, 114,227.92 and 45,050.72

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Solution

The fourth proportional to 82,776.32, 114,227.92 and 45,050.72 is: 62,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776.32 : 114,227.92 = 45,050.72 : x
  2. Step 2: Convert to fraction form
    82,776.32/114,227.92 = 45,050.72/x
  3. Step 3: Cross multiply
    82,776.32x = 114,227.92 × 45,050.72
  4. Step 4: Simplify right side
    82,776.32x = 5,146,050,040.10
  5. Step 5: Solve for x
    x = 5,146,050,040.10/82,776.32
  6. Step 6: Final answer
    x = 62,168.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.