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Finding the Fourth Proportional to 44,324, 61,167.12 and 24,452

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Solution

The fourth proportional to 44,324, 61,167.12 and 24,452 is: 33,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,324 : 61,167.12 = 24,452 : x
  2. Step 2: Convert to fraction form
    44,324/61,167.12 = 24,452/x
  3. Step 3: Cross multiply
    44,324x = 61,167.12 × 24,452
  4. Step 4: Simplify right side
    44,324x = 1,495,658,418.24
  5. Step 5: Solve for x
    x = 1,495,658,418.24/44,324
  6. Step 6: Final answer
    x = 33,743.76

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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.