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Finding the Fourth Proportional to 31,596.16, 47,357.79 and 11,862.13

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Solution

The fourth proportional to 31,596.16, 47,357.79 and 11,862.13 is: 17,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.16 : 47,357.79 = 11,862.13 : x
  2. Step 2: Convert to fraction form
    31,596.16/47,357.79 = 11,862.13/x
  3. Step 3: Cross multiply
    31,596.16x = 47,357.79 × 11,862.13
  4. Step 4: Simplify right side
    31,596.16x = 561,764,098.62
  5. Step 5: Solve for x
    x = 561,764,098.62/31,596.16
  6. Step 6: Final answer
    x = 17,779.51

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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.