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Finding the Fourth Proportional to 78,114.48, 117,171.72 and 21,952.32

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Solution

The fourth proportional to 78,114.48, 117,171.72 and 21,952.32 is: 32,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.48 : 117,171.72 = 21,952.32 : x
  2. Step 2: Convert to fraction form
    78,114.48/117,171.72 = 21,952.32/x
  3. Step 3: Cross multiply
    78,114.48x = 117,171.72 × 21,952.32
  4. Step 4: Simplify right side
    78,114.48x = 2,572,191,092.39
  5. Step 5: Solve for x
    x = 2,572,191,092.39/78,114.48
  6. Step 6: Final answer
    x = 32,928.48

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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.