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Finding the Fourth Proportional to 82,809.52, 114,277.40 and 45,084

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Solution

The fourth proportional to 82,809.52, 114,277.40 and 45,084 is: 62,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.52 : 114,277.40 = 45,084 : x
  2. Step 2: Convert to fraction form
    82,809.52/114,277.40 = 45,084/x
  3. Step 3: Cross multiply
    82,809.52x = 114,277.40 × 45,084
  4. Step 4: Simplify right side
    82,809.52x = 5,152,082,301.60
  5. Step 5: Solve for x
    x = 5,152,082,301.60/82,809.52
  6. Step 6: Final answer
    x = 62,216.06

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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.