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Finding the Fourth Proportional to 82,306.13, 113,573.34 and 46,488.53

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Solution

The fourth proportional to 82,306.13, 113,573.34 and 46,488.53 is: 64,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,306.13 : 113,573.34 = 46,488.53 : x
  2. Step 2: Convert to fraction form
    82,306.13/113,573.34 = 46,488.53/x
  3. Step 3: Cross multiply
    82,306.13x = 113,573.34 × 46,488.53
  4. Step 4: Simplify right side
    82,306.13x = 5,279,857,907.72
  5. Step 5: Solve for x
    x = 5,279,857,907.72/82,306.13
  6. Step 6: Final answer
    x = 64,149.03

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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.