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Finding the Fourth Proportional to 49,051.90, 67,689.62 and 27,830.71

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Solution

The fourth proportional to 49,051.90, 67,689.62 and 27,830.71 is: 38,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,051.90 : 67,689.62 = 27,830.71 : x
  2. Step 2: Convert to fraction form
    49,051.90/67,689.62 = 27,830.71/x
  3. Step 3: Cross multiply
    49,051.90x = 67,689.62 × 27,830.71
  4. Step 4: Simplify right side
    49,051.90x = 1,883,849,845.78
  5. Step 5: Solve for x
    x = 1,883,849,845.78/49,051.90
  6. Step 6: Final answer
    x = 38,405.24

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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.