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Finding the Fourth Proportional to 84,406.80, 116,494.02 and 52,585.95

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Solution

The fourth proportional to 84,406.80, 116,494.02 and 52,585.95 is: 72,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,406.80 : 116,494.02 = 52,585.95 : x
  2. Step 2: Convert to fraction form
    84,406.80/116,494.02 = 52,585.95/x
  3. Step 3: Cross multiply
    84,406.80x = 116,494.02 × 52,585.95
  4. Step 4: Simplify right side
    84,406.80x = 6,125,948,711.02
  5. Step 5: Solve for x
    x = 6,125,948,711.02/84,406.80
  6. Step 6: Final answer
    x = 72,576.48

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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.