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Finding the Fourth Proportional to 32,709.60, 49,065.12 and 9,337.80

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Solution

The fourth proportional to 32,709.60, 49,065.12 and 9,337.80 is: 14,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.60 : 49,065.12 = 9,337.80 : x
  2. Step 2: Convert to fraction form
    32,709.60/49,065.12 = 9,337.80/x
  3. Step 3: Cross multiply
    32,709.60x = 49,065.12 × 9,337.80
  4. Step 4: Simplify right side
    32,709.60x = 458,160,277.54
  5. Step 5: Solve for x
    x = 458,160,277.54/32,709.60
  6. Step 6: Final answer
    x = 14,006.91

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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.