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Finding the Fourth Proportional to 61,684.63, 92,472.89 and 29,647.68

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Solution

The fourth proportional to 61,684.63, 92,472.89 and 29,647.68 is: 44,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,684.63 : 92,472.89 = 29,647.68 : x
  2. Step 2: Convert to fraction form
    61,684.63/92,472.89 = 29,647.68/x
  3. Step 3: Cross multiply
    61,684.63x = 92,472.89 × 29,647.68
  4. Step 4: Simplify right side
    61,684.63x = 2,741,606,503.16
  5. Step 5: Solve for x
    x = 2,741,606,503.16/61,684.63
  6. Step 6: Final answer
    x = 44,445.54

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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.