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Finding the Fourth Proportional to 82,648.65, 123,974.35 and 35,901.53

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Solution

The fourth proportional to 82,648.65, 123,974.35 and 35,901.53 is: 53,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,648.65 : 123,974.35 = 35,901.53 : x
  2. Step 2: Convert to fraction form
    82,648.65/123,974.35 = 35,901.53/x
  3. Step 3: Cross multiply
    82,648.65x = 123,974.35 × 35,901.53
  4. Step 4: Simplify right side
    82,648.65x = 4,450,868,601.03
  5. Step 5: Solve for x
    x = 4,450,868,601.03/82,648.65
  6. Step 6: Final answer
    x = 53,852.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.