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Finding the Fourth Proportional to 63,769.36, 88,016.88 and 38,614

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Solution

The fourth proportional to 63,769.36, 88,016.88 and 38,614 is: 53,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,769.36 : 88,016.88 = 38,614 : x
  2. Step 2: Convert to fraction form
    63,769.36/88,016.88 = 38,614/x
  3. Step 3: Cross multiply
    63,769.36x = 88,016.88 × 38,614
  4. Step 4: Simplify right side
    63,769.36x = 3,398,683,804.32
  5. Step 5: Solve for x
    x = 3,398,683,804.32/63,769.36
  6. Step 6: Final answer
    x = 53,296.50

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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.