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Finding the Fourth Proportional to 41,536, 62,307.72 and 16,570

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Solution

The fourth proportional to 41,536, 62,307.72 and 16,570 is: 24,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536 : 62,307.72 = 16,570 : x
  2. Step 2: Convert to fraction form
    41,536/62,307.72 = 16,570/x
  3. Step 3: Cross multiply
    41,536x = 62,307.72 × 16,570
  4. Step 4: Simplify right side
    41,536x = 1,032,438,920.40
  5. Step 5: Solve for x
    x = 1,032,438,920.40/41,536
  6. Step 6: Final answer
    x = 24,856.48

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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.