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Finding the Fourth Proportional to 32,512.88, 48,769.32 and 9,139.32

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Solution

The fourth proportional to 32,512.88, 48,769.32 and 9,139.32 is: 13,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512.88 : 48,769.32 = 9,139.32 : x
  2. Step 2: Convert to fraction form
    32,512.88/48,769.32 = 9,139.32/x
  3. Step 3: Cross multiply
    32,512.88x = 48,769.32 × 9,139.32
  4. Step 4: Simplify right side
    32,512.88x = 445,718,421.66
  5. Step 5: Solve for x
    x = 445,718,421.66/32,512.88
  6. Step 6: Final answer
    x = 13,708.98

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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.