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Finding the Fourth Proportional to 32,150.16, 48,256.36 and 15,521.86

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Solution

The fourth proportional to 32,150.16, 48,256.36 and 15,521.86 is: 23,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.16 : 48,256.36 = 15,521.86 : x
  2. Step 2: Convert to fraction form
    32,150.16/48,256.36 = 15,521.86/x
  3. Step 3: Cross multiply
    32,150.16x = 48,256.36 × 15,521.86
  4. Step 4: Simplify right side
    32,150.16x = 749,028,464.03
  5. Step 5: Solve for x
    x = 749,028,464.03/32,150.16
  6. Step 6: Final answer
    x = 23,297.82

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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.