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Finding the Fourth Proportional to 55,675.70, 83,513.82 and 16,233.02

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Solution

The fourth proportional to 55,675.70, 83,513.82 and 16,233.02 is: 24,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,675.70 : 83,513.82 = 16,233.02 : x
  2. Step 2: Convert to fraction form
    55,675.70/83,513.82 = 16,233.02/x
  3. Step 3: Cross multiply
    55,675.70x = 83,513.82 × 16,233.02
  4. Step 4: Simplify right side
    55,675.70x = 1,355,681,510.34
  5. Step 5: Solve for x
    x = 1,355,681,510.34/55,675.70
  6. Step 6: Final answer
    x = 24,349.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.