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Finding the Fourth Proportional to 32,098.84, 48,148.36 and 8,725.26

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Solution

The fourth proportional to 32,098.84, 48,148.36 and 8,725.26 is: 13,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.84 : 48,148.36 = 8,725.26 : x
  2. Step 2: Convert to fraction form
    32,098.84/48,148.36 = 8,725.26/x
  3. Step 3: Cross multiply
    32,098.84x = 48,148.36 × 8,725.26
  4. Step 4: Simplify right side
    32,098.84x = 420,106,959.57
  5. Step 5: Solve for x
    x = 420,106,959.57/32,098.84
  6. Step 6: Final answer
    x = 13,087.92

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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.