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Finding the Fourth Proportional to 32,298.46, 48,447.69 and 10,113.57

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Solution

The fourth proportional to 32,298.46, 48,447.69 and 10,113.57 is: 15,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.46 : 48,447.69 = 10,113.57 : x
  2. Step 2: Convert to fraction form
    32,298.46/48,447.69 = 10,113.57/x
  3. Step 3: Cross multiply
    32,298.46x = 48,447.69 × 10,113.57
  4. Step 4: Simplify right side
    32,298.46x = 489,979,323.76
  5. Step 5: Solve for x
    x = 489,979,323.76/32,298.46
  6. Step 6: Final answer
    x = 15,170.36

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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.