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Finding the Fourth Proportional to 49,114.98, 67,779.14 and 27,894.69

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Solution

The fourth proportional to 49,114.98, 67,779.14 and 27,894.69 is: 38,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,114.98 : 67,779.14 = 27,894.69 : x
  2. Step 2: Convert to fraction form
    49,114.98/67,779.14 = 27,894.69/x
  3. Step 3: Cross multiply
    49,114.98x = 67,779.14 × 27,894.69
  4. Step 4: Simplify right side
    49,114.98x = 1,890,677,959.29
  5. Step 5: Solve for x
    x = 1,890,677,959.29/49,114.98
  6. Step 6: Final answer
    x = 38,494.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.