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Finding the Fourth Proportional to 44,536.09, 61,459.83 and 24,394.24

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Solution

The fourth proportional to 44,536.09, 61,459.83 and 24,394.24 is: 33,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,536.09 : 61,459.83 = 24,394.24 : x
  2. Step 2: Convert to fraction form
    44,536.09/61,459.83 = 24,394.24/x
  3. Step 3: Cross multiply
    44,536.09x = 61,459.83 × 24,394.24
  4. Step 4: Simplify right side
    44,536.09x = 1,499,265,843.38
  5. Step 5: Solve for x
    x = 1,499,265,843.38/44,536.09
  6. Step 6: Final answer
    x = 33,664.07

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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.