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Finding the Fourth Proportional to 67,346.38, 92,948.96 and 40,516

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Solution

The fourth proportional to 67,346.38, 92,948.96 and 40,516 is: 55,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,346.38 : 92,948.96 = 40,516 : x
  2. Step 2: Convert to fraction form
    67,346.38/92,948.96 = 40,516/x
  3. Step 3: Cross multiply
    67,346.38x = 92,948.96 × 40,516
  4. Step 4: Simplify right side
    67,346.38x = 3,765,920,063.36
  5. Step 5: Solve for x
    x = 3,765,920,063.36/67,346.38
  6. Step 6: Final answer
    x = 55,918.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.