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Finding the Fourth Proportional to 92,749.04, 127,982 and 55,016

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Solution

The fourth proportional to 92,749.04, 127,982 and 55,016 is: 75,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,749.04 : 127,982 = 55,016 : x
  2. Step 2: Convert to fraction form
    92,749.04/127,982 = 55,016/x
  3. Step 3: Cross multiply
    92,749.04x = 127,982 × 55,016
  4. Step 4: Simplify right side
    92,749.04x = 7,041,057,712
  5. Step 5: Solve for x
    x = 7,041,057,712/92,749.04
  6. Step 6: Final answer
    x = 75,915.15

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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.