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Finding the Fourth Proportional to 32,972.76, 49,459.50 and 11,914.38

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Solution

The fourth proportional to 32,972.76, 49,459.50 and 11,914.38 is: 17,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972.76 : 49,459.50 = 11,914.38 : x
  2. Step 2: Convert to fraction form
    32,972.76/49,459.50 = 11,914.38/x
  3. Step 3: Cross multiply
    32,972.76x = 49,459.50 × 11,914.38
  4. Step 4: Simplify right side
    32,972.76x = 589,279,277.61
  5. Step 5: Solve for x
    x = 589,279,277.61/32,972.76
  6. Step 6: Final answer
    x = 17,871.70

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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.