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Finding the Fourth Proportional to 32,888.16, 49,335.13 and 9,195.97

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Solution

The fourth proportional to 32,888.16, 49,335.13 and 9,195.97 is: 13,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,888.16 : 49,335.13 = 9,195.97 : x
  2. Step 2: Convert to fraction form
    32,888.16/49,335.13 = 9,195.97/x
  3. Step 3: Cross multiply
    32,888.16x = 49,335.13 × 9,195.97
  4. Step 4: Simplify right side
    32,888.16x = 453,684,263.58
  5. Step 5: Solve for x
    x = 453,684,263.58/32,888.16
  6. Step 6: Final answer
    x = 13,794.76

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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.