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Finding the Fourth Proportional to 73,897.96, 110,821.74 and 21,293.32

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Solution

The fourth proportional to 73,897.96, 110,821.74 and 21,293.32 is: 31,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,897.96 : 110,821.74 = 21,293.32 : x
  2. Step 2: Convert to fraction form
    73,897.96/110,821.74 = 21,293.32/x
  3. Step 3: Cross multiply
    73,897.96x = 110,821.74 × 21,293.32
  4. Step 4: Simplify right side
    73,897.96x = 2,359,762,772.78
  5. Step 5: Solve for x
    x = 2,359,762,772.78/73,897.96
  6. Step 6: Final answer
    x = 31,932.72

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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.