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Finding the Fourth Proportional to 36,863.88, 55,294 and 13,488.50

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Solution

The fourth proportional to 36,863.88, 55,294 and 13,488.50 is: 20,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,863.88 : 55,294 = 13,488.50 : x
  2. Step 2: Convert to fraction form
    36,863.88/55,294 = 13,488.50/x
  3. Step 3: Cross multiply
    36,863.88x = 55,294 × 13,488.50
  4. Step 4: Simplify right side
    36,863.88x = 745,833,119
  5. Step 5: Solve for x
    x = 745,833,119/36,863.88
  6. Step 6: Final answer
    x = 20,232.08

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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.