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Finding the Fourth Proportional to 41,146.48, 61,581.48 and 23,590

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Solution

The fourth proportional to 41,146.48, 61,581.48 and 23,590 is: 35,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,146.48 : 61,581.48 = 23,590 : x
  2. Step 2: Convert to fraction form
    41,146.48/61,581.48 = 23,590/x
  3. Step 3: Cross multiply
    41,146.48x = 61,581.48 × 23,590
  4. Step 4: Simplify right side
    41,146.48x = 1,452,707,113.20
  5. Step 5: Solve for x
    x = 1,452,707,113.20/41,146.48
  6. Step 6: Final answer
    x = 35,305.74

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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.