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Finding the Fourth Proportional to 32,408.19, 48,615.03 and 9,034.65

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Solution

The fourth proportional to 32,408.19, 48,615.03 and 9,034.65 is: 13,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.19 : 48,615.03 = 9,034.65 : x
  2. Step 2: Convert to fraction form
    32,408.19/48,615.03 = 9,034.65/x
  3. Step 3: Cross multiply
    32,408.19x = 48,615.03 × 9,034.65
  4. Step 4: Simplify right side
    32,408.19x = 439,219,780.79
  5. Step 5: Solve for x
    x = 439,219,780.79/32,408.19
  6. Step 6: Final answer
    x = 13,552.74

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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.