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Finding the Fourth Proportional to 61,494.48, 92,241.75 and 47,475

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Solution

The fourth proportional to 61,494.48, 92,241.75 and 47,475 is: 71,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,494.48 : 92,241.75 = 47,475 : x
  2. Step 2: Convert to fraction form
    61,494.48/92,241.75 = 47,475/x
  3. Step 3: Cross multiply
    61,494.48x = 92,241.75 × 47,475
  4. Step 4: Simplify right side
    61,494.48x = 4,379,177,081.25
  5. Step 5: Solve for x
    x = 4,379,177,081.25/61,494.48
  6. Step 6: Final answer
    x = 71,212.52

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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.