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Finding the Fourth Proportional to 49,046, 67,678.80 and 27,530.82

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Solution

The fourth proportional to 49,046, 67,678.80 and 27,530.82 is: 37,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,046 : 67,678.80 = 27,530.82 : x
  2. Step 2: Convert to fraction form
    49,046/67,678.80 = 27,530.82/x
  3. Step 3: Cross multiply
    49,046x = 67,678.80 × 27,530.82
  4. Step 4: Simplify right side
    49,046x = 1,863,252,860.62
  5. Step 5: Solve for x
    x = 1,863,252,860.62/49,046
  6. Step 6: Final answer
    x = 37,989.90

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