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Finding the Fourth Proportional to 61,428.92, 92,085 and 24,012.98

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Solution

The fourth proportional to 61,428.92, 92,085 and 24,012.98 is: 35,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,428.92 : 92,085 = 24,012.98 : x
  2. Step 2: Convert to fraction form
    61,428.92/92,085 = 24,012.98/x
  3. Step 3: Cross multiply
    61,428.92x = 92,085 × 24,012.98
  4. Step 4: Simplify right side
    61,428.92x = 2,211,235,263.30
  5. Step 5: Solve for x
    x = 2,211,235,263.30/61,428.92
  6. Step 6: Final answer
    x = 35,996.65

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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.