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Finding the Fourth Proportional to 61,412.85, 92,086.47 and 21,948.44

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Solution

The fourth proportional to 61,412.85, 92,086.47 and 21,948.44 is: 32,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,412.85 : 92,086.47 = 21,948.44 : x
  2. Step 2: Convert to fraction form
    61,412.85/92,086.47 = 21,948.44/x
  3. Step 3: Cross multiply
    61,412.85x = 92,086.47 × 21,948.44
  4. Step 4: Simplify right side
    61,412.85x = 2,021,153,901.17
  5. Step 5: Solve for x
    x = 2,021,153,901.17/61,412.85
  6. Step 6: Final answer
    x = 32,910.93

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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.