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Finding the Fourth Proportional to 127,375.65, 191,065.30 and 48,494.20

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Solution

The fourth proportional to 127,375.65, 191,065.30 and 48,494.20 is: 72,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,375.65 : 191,065.30 = 48,494.20 : x
  2. Step 2: Convert to fraction form
    127,375.65/191,065.30 = 48,494.20/x
  3. Step 3: Cross multiply
    127,375.65x = 191,065.30 × 48,494.20
  4. Step 4: Simplify right side
    127,375.65x = 9,265,558,871.26
  5. Step 5: Solve for x
    x = 9,265,558,871.26/127,375.65
  6. Step 6: Final answer
    x = 72,741.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.