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Finding the Fourth Proportional to 32,150.90, 48,233.64 and 14,616.02

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Solution

The fourth proportional to 32,150.90, 48,233.64 and 14,616.02 is: 21,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.90 : 48,233.64 = 14,616.02 : x
  2. Step 2: Convert to fraction form
    32,150.90/48,233.64 = 14,616.02/x
  3. Step 3: Cross multiply
    32,150.90x = 48,233.64 × 14,616.02
  4. Step 4: Simplify right side
    32,150.90x = 704,983,846.91
  5. Step 5: Solve for x
    x = 704,983,846.91/32,150.90
  6. Step 6: Final answer
    x = 21,927.34

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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.