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Finding the Fourth Proportional to 32,153.42, 48,227.35 and 9,966.30

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Solution

The fourth proportional to 32,153.42, 48,227.35 and 9,966.30 is: 14,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.42 : 48,227.35 = 9,966.30 : x
  2. Step 2: Convert to fraction form
    32,153.42/48,227.35 = 9,966.30/x
  3. Step 3: Cross multiply
    32,153.42x = 48,227.35 × 9,966.30
  4. Step 4: Simplify right side
    32,153.42x = 480,648,238.31
  5. Step 5: Solve for x
    x = 480,648,238.31/32,153.42
  6. Step 6: Final answer
    x = 14,948.59

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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.