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Finding the Fourth Proportional to 32,077.57, 48,122.43 and 14,548.78

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Solution

The fourth proportional to 32,077.57, 48,122.43 and 14,548.78 is: 21,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.57 : 48,122.43 = 14,548.78 : x
  2. Step 2: Convert to fraction form
    32,077.57/48,122.43 = 14,548.78/x
  3. Step 3: Cross multiply
    32,077.57x = 48,122.43 × 14,548.78
  4. Step 4: Simplify right side
    32,077.57x = 700,122,647.14
  5. Step 5: Solve for x
    x = 700,122,647.14/32,077.57
  6. Step 6: Final answer
    x = 21,825.93

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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.