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Finding the Fourth Proportional to 31,596.66, 47,358.54 and 11,862.63

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Solution

The fourth proportional to 31,596.66, 47,358.54 and 11,862.63 is: 17,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.66 : 47,358.54 = 11,862.63 : x
  2. Step 2: Convert to fraction form
    31,596.66/47,358.54 = 11,862.63/x
  3. Step 3: Cross multiply
    31,596.66x = 47,358.54 × 11,862.63
  4. Step 4: Simplify right side
    31,596.66x = 561,796,778.05
  5. Step 5: Solve for x
    x = 561,796,778.05/31,596.66
  6. Step 6: Final answer
    x = 17,780.26

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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.