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Finding the Fourth Proportional to 61,454.98, 92,211.16 and 31,856.67

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Solution

The fourth proportional to 61,454.98, 92,211.16 and 31,856.67 is: 47,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,454.98 : 92,211.16 = 31,856.67 : x
  2. Step 2: Convert to fraction form
    61,454.98/92,211.16 = 31,856.67/x
  3. Step 3: Cross multiply
    61,454.98x = 92,211.16 × 31,856.67
  4. Step 4: Simplify right side
    61,454.98x = 2,937,540,033.38
  5. Step 5: Solve for x
    x = 2,937,540,033.38/61,454.98
  6. Step 6: Final answer
    x = 47,799.87

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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.