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Finding the Fourth Proportional to 82,306.02, 113,581.71 and 44,580

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Solution

The fourth proportional to 82,306.02, 113,581.71 and 44,580 is: 61,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,306.02 : 113,581.71 = 44,580 : x
  2. Step 2: Convert to fraction form
    82,306.02/113,581.71 = 44,580/x
  3. Step 3: Cross multiply
    82,306.02x = 113,581.71 × 44,580
  4. Step 4: Simplify right side
    82,306.02x = 5,063,472,631.80
  5. Step 5: Solve for x
    x = 5,063,472,631.80/82,306.02
  6. Step 6: Final answer
    x = 61,520.08

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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.