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Finding the Fourth Proportional to 32,349.21, 48,499.16 and 10,149.78

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Solution

The fourth proportional to 32,349.21, 48,499.16 and 10,149.78 is: 15,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,349.21 : 48,499.16 = 10,149.78 : x
  2. Step 2: Convert to fraction form
    32,349.21/48,499.16 = 10,149.78/x
  3. Step 3: Cross multiply
    32,349.21x = 48,499.16 × 10,149.78
  4. Step 4: Simplify right side
    32,349.21x = 492,255,804.18
  5. Step 5: Solve for x
    x = 492,255,804.18/32,349.21
  6. Step 6: Final answer
    x = 15,216.93

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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.