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Finding the Fourth Proportional to 32,181.40, 48,275.70 and 9,989.56

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Solution

The fourth proportional to 32,181.40, 48,275.70 and 9,989.56 is: 14,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,181.40 : 48,275.70 = 9,989.56 : x
  2. Step 2: Convert to fraction form
    32,181.40/48,275.70 = 9,989.56/x
  3. Step 3: Cross multiply
    32,181.40x = 48,275.70 × 9,989.56
  4. Step 4: Simplify right side
    32,181.40x = 482,253,001.69
  5. Step 5: Solve for x
    x = 482,253,001.69/32,181.40
  6. Step 6: Final answer
    x = 14,985.46

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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.