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Finding the Fourth Proportional to 32,711.96, 49,069.58 and 9,341.84

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Solution

The fourth proportional to 32,711.96, 49,069.58 and 9,341.84 is: 14,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.96 : 49,069.58 = 9,341.84 : x
  2. Step 2: Convert to fraction form
    32,711.96/49,069.58 = 9,341.84/x
  3. Step 3: Cross multiply
    32,711.96x = 49,069.58 × 9,341.84
  4. Step 4: Simplify right side
    32,711.96x = 458,400,165.23
  5. Step 5: Solve for x
    x = 458,400,165.23/32,711.96
  6. Step 6: Final answer
    x = 14,013.23

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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.