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Finding the Fourth Proportional to 74,876.38, 103,328.61 and 40,884.76

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Solution

The fourth proportional to 74,876.38, 103,328.61 and 40,884.76 is: 56,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,876.38 : 103,328.61 = 40,884.76 : x
  2. Step 2: Convert to fraction form
    74,876.38/103,328.61 = 40,884.76/x
  3. Step 3: Cross multiply
    74,876.38x = 103,328.61 × 40,884.76
  4. Step 4: Simplify right side
    74,876.38x = 4,224,565,420.98
  5. Step 5: Solve for x
    x = 4,224,565,420.98/74,876.38
  6. Step 6: Final answer
    x = 56,420.54

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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.