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Finding the Fourth Proportional to 61,244.16, 84,538.24 and 36,092

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Solution

The fourth proportional to 61,244.16, 84,538.24 and 36,092 is: 49,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,244.16 : 84,538.24 = 36,092 : x
  2. Step 2: Convert to fraction form
    61,244.16/84,538.24 = 36,092/x
  3. Step 3: Cross multiply
    61,244.16x = 84,538.24 × 36,092
  4. Step 4: Simplify right side
    61,244.16x = 3,051,154,158.08
  5. Step 5: Solve for x
    x = 3,051,154,158.08/61,244.16
  6. Step 6: Final answer
    x = 49,819.51

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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.