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Finding the Fourth Proportional to 34,402.12, 51,607.77 and 13,620.76

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Solution

The fourth proportional to 34,402.12, 51,607.77 and 13,620.76 is: 20,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.12 : 51,607.77 = 13,620.76 : x
  2. Step 2: Convert to fraction form
    34,402.12/51,607.77 = 13,620.76/x
  3. Step 3: Cross multiply
    34,402.12x = 51,607.77 × 13,620.76
  4. Step 4: Simplify right side
    34,402.12x = 702,937,049.31
  5. Step 5: Solve for x
    x = 702,937,049.31/34,402.12
  6. Step 6: Final answer
    x = 20,432.96

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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.