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Finding the Fourth Proportional to 32,988.72, 49,453.50 and 11,923.83

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Solution

The fourth proportional to 32,988.72, 49,453.50 and 11,923.83 is: 17,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988.72 : 49,453.50 = 11,923.83 : x
  2. Step 2: Convert to fraction form
    32,988.72/49,453.50 = 11,923.83/x
  3. Step 3: Cross multiply
    32,988.72x = 49,453.50 × 11,923.83
  4. Step 4: Simplify right side
    32,988.72x = 589,675,126.91
  5. Step 5: Solve for x
    x = 589,675,126.91/32,988.72
  6. Step 6: Final answer
    x = 17,875.05

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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.