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Finding the Fourth Proportional to 82,585.14, 114,002.40 and 55,764

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Solution

The fourth proportional to 82,585.14, 114,002.40 and 55,764 is: 76,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,585.14 : 114,002.40 = 55,764 : x
  2. Step 2: Convert to fraction form
    82,585.14/114,002.40 = 55,764/x
  3. Step 3: Cross multiply
    82,585.14x = 114,002.40 × 55,764
  4. Step 4: Simplify right side
    82,585.14x = 6,357,229,833.60
  5. Step 5: Solve for x
    x = 6,357,229,833.60/82,585.14
  6. Step 6: Final answer
    x = 76,977.89

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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.