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Finding the Fourth Proportional to 32,402.78, 48,623.31 and 13,681.61

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Solution

The fourth proportional to 32,402.78, 48,623.31 and 13,681.61 is: 20,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.78 : 48,623.31 = 13,681.61 : x
  2. Step 2: Convert to fraction form
    32,402.78/48,623.31 = 13,681.61/x
  3. Step 3: Cross multiply
    32,402.78x = 48,623.31 × 13,681.61
  4. Step 4: Simplify right side
    32,402.78x = 665,244,887.01
  5. Step 5: Solve for x
    x = 665,244,887.01/32,402.78
  6. Step 6: Final answer
    x = 20,530.49

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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.