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Finding the Fourth Proportional to 72,865.64, 109,283.87 and 20,261.00

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Solution

The fourth proportional to 72,865.64, 109,283.87 and 20,261.00 is: 30,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,865.64 : 109,283.87 = 20,261.00 : x
  2. Step 2: Convert to fraction form
    72,865.64/109,283.87 = 20,261.00/x
  3. Step 3: Cross multiply
    72,865.64x = 109,283.87 × 20,261.00
  4. Step 4: Simplify right side
    72,865.64x = 2,214,199,842.35
  5. Step 5: Solve for x
    x = 2,214,199,842.35/72,865.64
  6. Step 6: Final answer
    x = 30,387.44

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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.