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Finding the Fourth Proportional to 127,842.04, 191,764.62 and 48,961

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Solution

The fourth proportional to 127,842.04, 191,764.62 and 48,961 is: 73,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,842.04 : 191,764.62 = 48,961 : x
  2. Step 2: Convert to fraction form
    127,842.04/191,764.62 = 48,961/x
  3. Step 3: Cross multiply
    127,842.04x = 191,764.62 × 48,961
  4. Step 4: Simplify right side
    127,842.04x = 9,388,987,559.82
  5. Step 5: Solve for x
    x = 9,388,987,559.82/127,842.04
  6. Step 6: Final answer
    x = 73,442.10

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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.