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Finding the Fourth Proportional to 32,141.42, 48,223.67 and 14,370.57

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Solution

The fourth proportional to 32,141.42, 48,223.67 and 14,370.57 is: 21,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.42 : 48,223.67 = 14,370.57 : x
  2. Step 2: Convert to fraction form
    32,141.42/48,223.67 = 14,370.57/x
  3. Step 3: Cross multiply
    32,141.42x = 48,223.67 × 14,370.57
  4. Step 4: Simplify right side
    32,141.42x = 693,001,553.54
  5. Step 5: Solve for x
    x = 693,001,553.54/32,141.42
  6. Step 6: Final answer
    x = 21,561.02

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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.