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Finding the Fourth Proportional to 32,522.12, 48,777.51 and 9,143

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Solution

The fourth proportional to 32,522.12, 48,777.51 and 9,143 is: 13,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.12 : 48,777.51 = 9,143 : x
  2. Step 2: Convert to fraction form
    32,522.12/48,777.51 = 9,143/x
  3. Step 3: Cross multiply
    32,522.12x = 48,777.51 × 9,143
  4. Step 4: Simplify right side
    32,522.12x = 445,972,773.93
  5. Step 5: Solve for x
    x = 445,972,773.93/32,522.12
  6. Step 6: Final answer
    x = 13,712.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.