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Finding the Fourth Proportional to 49,894.96, 74,779.78 and 24,941.97

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Solution

The fourth proportional to 49,894.96, 74,779.78 and 24,941.97 is: 37,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.96 : 74,779.78 = 24,941.97 : x
  2. Step 2: Convert to fraction form
    49,894.96/74,779.78 = 24,941.97/x
  3. Step 3: Cross multiply
    49,894.96x = 74,779.78 × 24,941.97
  4. Step 4: Simplify right side
    49,894.96x = 1,865,155,029.37
  5. Step 5: Solve for x
    x = 1,865,155,029.37/49,894.96
  6. Step 6: Final answer
    x = 37,381.63

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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.