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Finding the Fourth Proportional to 31,645.16, 47,467.28 and 9,458.04

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Solution

The fourth proportional to 31,645.16, 47,467.28 and 9,458.04 is: 14,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.16 : 47,467.28 = 9,458.04 : x
  2. Step 2: Convert to fraction form
    31,645.16/47,467.28 = 9,458.04/x
  3. Step 3: Cross multiply
    31,645.16x = 47,467.28 × 9,458.04
  4. Step 4: Simplify right side
    31,645.16x = 448,947,432.93
  5. Step 5: Solve for x
    x = 448,947,432.93/31,645.16
  6. Step 6: Final answer
    x = 14,186.92

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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.