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Finding the Fourth Proportional to 31,608.32, 47,419.41 and 11,886.87

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Solution

The fourth proportional to 31,608.32, 47,419.41 and 11,886.87 is: 17,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608.32 : 47,419.41 = 11,886.87 : x
  2. Step 2: Convert to fraction form
    31,608.32/47,419.41 = 11,886.87/x
  3. Step 3: Cross multiply
    31,608.32x = 47,419.41 × 11,886.87
  4. Step 4: Simplify right side
    31,608.32x = 563,668,302.71
  5. Step 5: Solve for x
    x = 563,668,302.71/31,608.32
  6. Step 6: Final answer
    x = 17,832.91

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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.