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Finding the Fourth Proportional to 82,811.52, 114,280.16 and 45,086

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Solution

The fourth proportional to 82,811.52, 114,280.16 and 45,086 is: 62,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.52 : 114,280.16 = 45,086 : x
  2. Step 2: Convert to fraction form
    82,811.52/114,280.16 = 45,086/x
  3. Step 3: Cross multiply
    82,811.52x = 114,280.16 × 45,086
  4. Step 4: Simplify right side
    82,811.52x = 5,152,435,293.76
  5. Step 5: Solve for x
    x = 5,152,435,293.76/82,811.52
  6. Step 6: Final answer
    x = 62,218.82

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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.