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Finding the Fourth Proportional to 67,133.50, 100,714.92 and 25,580.50

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Solution

The fourth proportional to 67,133.50, 100,714.92 and 25,580.50 is: 38,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,133.50 : 100,714.92 = 25,580.50 : x
  2. Step 2: Convert to fraction form
    67,133.50/100,714.92 = 25,580.50/x
  3. Step 3: Cross multiply
    67,133.50x = 100,714.92 × 25,580.50
  4. Step 4: Simplify right side
    67,133.50x = 2,576,338,011.06
  5. Step 5: Solve for x
    x = 2,576,338,011.06/67,133.50
  6. Step 6: Final answer
    x = 38,376.34

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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.