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Finding the Fourth Proportional to 32,717.76, 49,078.08 and 9,341.76

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Solution

The fourth proportional to 32,717.76, 49,078.08 and 9,341.76 is: 14,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,717.76 : 49,078.08 = 9,341.76 : x
  2. Step 2: Convert to fraction form
    32,717.76/49,078.08 = 9,341.76/x
  3. Step 3: Cross multiply
    32,717.76x = 49,078.08 × 9,341.76
  4. Step 4: Simplify right side
    32,717.76x = 458,475,644.62
  5. Step 5: Solve for x
    x = 458,475,644.62/32,717.76
  6. Step 6: Final answer
    x = 14,013.05

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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.