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Finding the Fourth Proportional to 32,298.13, 48,423.43 and 10,099.09

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Solution

The fourth proportional to 32,298.13, 48,423.43 and 10,099.09 is: 15,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.13 : 48,423.43 = 10,099.09 : x
  2. Step 2: Convert to fraction form
    32,298.13/48,423.43 = 10,099.09/x
  3. Step 3: Cross multiply
    32,298.13x = 48,423.43 × 10,099.09
  4. Step 4: Simplify right side
    32,298.13x = 489,032,577.68
  5. Step 5: Solve for x
    x = 489,032,577.68/32,298.13
  6. Step 6: Final answer
    x = 15,141.20

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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.