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Finding the Fourth Proportional to 49,321.76, 68,070.70 and 27,815.93

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Solution

The fourth proportional to 49,321.76, 68,070.70 and 27,815.93 is: 38,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321.76 : 68,070.70 = 27,815.93 : x
  2. Step 2: Convert to fraction form
    49,321.76/68,070.70 = 27,815.93/x
  3. Step 3: Cross multiply
    49,321.76x = 68,070.70 × 27,815.93
  4. Step 4: Simplify right side
    49,321.76x = 1,893,449,619.47
  5. Step 5: Solve for x
    x = 1,893,449,619.47/49,321.76
  6. Step 6: Final answer
    x = 38,389.74

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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.