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Finding the Fourth Proportional to 41,237, 61,866.06 and 13,535.24

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Solution

The fourth proportional to 41,237, 61,866.06 and 13,535.24 is: 20,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,237 : 61,866.06 = 13,535.24 : x
  2. Step 2: Convert to fraction form
    41,237/61,866.06 = 13,535.24/x
  3. Step 3: Cross multiply
    41,237x = 61,866.06 × 13,535.24
  4. Step 4: Simplify right side
    41,237x = 837,371,969.95
  5. Step 5: Solve for x
    x = 837,371,969.95/41,237
  6. Step 6: Final answer
    x = 20,306.33

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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.