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Finding the Fourth Proportional to 49,188.32, 67,871.40 and 27,675.08

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Solution

The fourth proportional to 49,188.32, 67,871.40 and 27,675.08 is: 38,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188.32 : 67,871.40 = 27,675.08 : x
  2. Step 2: Convert to fraction form
    49,188.32/67,871.40 = 27,675.08/x
  3. Step 3: Cross multiply
    49,188.32x = 67,871.40 × 27,675.08
  4. Step 4: Simplify right side
    49,188.32x = 1,878,346,085.36
  5. Step 5: Solve for x
    x = 1,878,346,085.36/49,188.32
  6. Step 6: Final answer
    x = 38,186.84

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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.