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Finding the Fourth Proportional to 77,152.50, 115,735.23 and 21,748.50

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Solution

The fourth proportional to 77,152.50, 115,735.23 and 21,748.50 is: 32,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152.50 : 115,735.23 = 21,748.50 : x
  2. Step 2: Convert to fraction form
    77,152.50/115,735.23 = 21,748.50/x
  3. Step 3: Cross multiply
    77,152.50x = 115,735.23 × 21,748.50
  4. Step 4: Simplify right side
    77,152.50x = 2,517,067,649.66
  5. Step 5: Solve for x
    x = 2,517,067,649.66/77,152.50
  6. Step 6: Final answer
    x = 32,624.58

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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.