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Finding the Fourth Proportional to 44,852, 61,897.68 and 24,980

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Solution

The fourth proportional to 44,852, 61,897.68 and 24,980 is: 34,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,852 : 61,897.68 = 24,980 : x
  2. Step 2: Convert to fraction form
    44,852/61,897.68 = 24,980/x
  3. Step 3: Cross multiply
    44,852x = 61,897.68 × 24,980
  4. Step 4: Simplify right side
    44,852x = 1,546,204,046.40
  5. Step 5: Solve for x
    x = 1,546,204,046.40/44,852
  6. Step 6: Final answer
    x = 34,473.47

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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.