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Finding the Fourth Proportional to 73,898.96, 110,823.24 and 21,294.32

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Solution

The fourth proportional to 73,898.96, 110,823.24 and 21,294.32 is: 31,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,898.96 : 110,823.24 = 21,294.32 : x
  2. Step 2: Convert to fraction form
    73,898.96/110,823.24 = 21,294.32/x
  3. Step 3: Cross multiply
    73,898.96x = 110,823.24 × 21,294.32
  4. Step 4: Simplify right side
    73,898.96x = 2,359,905,536.00
  5. Step 5: Solve for x
    x = 2,359,905,536.00/73,898.96
  6. Step 6: Final answer
    x = 31,934.22

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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.