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Finding the Fourth Proportional to 32,348.77, 48,499.16 and 10,149.50

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Solution

The fourth proportional to 32,348.77, 48,499.16 and 10,149.50 is: 15,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348.77 : 48,499.16 = 10,149.50 : x
  2. Step 2: Convert to fraction form
    32,348.77/48,499.16 = 10,149.50/x
  3. Step 3: Cross multiply
    32,348.77x = 48,499.16 × 10,149.50
  4. Step 4: Simplify right side
    32,348.77x = 492,242,294.92
  5. Step 5: Solve for x
    x = 492,242,294.92/32,348.77
  6. Step 6: Final answer
    x = 15,216.72

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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.