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Finding the Fourth Proportional to 61,804.96, 92,706.48 and 24,868

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Solution

The fourth proportional to 61,804.96, 92,706.48 and 24,868 is: 37,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,804.96 : 92,706.48 = 24,868 : x
  2. Step 2: Convert to fraction form
    61,804.96/92,706.48 = 24,868/x
  3. Step 3: Cross multiply
    61,804.96x = 92,706.48 × 24,868
  4. Step 4: Simplify right side
    61,804.96x = 2,305,424,744.64
  5. Step 5: Solve for x
    x = 2,305,424,744.64/61,804.96
  6. Step 6: Final answer
    x = 37,301.61

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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.