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Finding the Fourth Proportional to 73,616.40, 110,446.76 and 26,225.30

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Solution

The fourth proportional to 73,616.40, 110,446.76 and 26,225.30 is: 39,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,616.40 : 110,446.76 = 26,225.30 : x
  2. Step 2: Convert to fraction form
    73,616.40/110,446.76 = 26,225.30/x
  3. Step 3: Cross multiply
    73,616.40x = 110,446.76 × 26,225.30
  4. Step 4: Simplify right side
    73,616.40x = 2,896,499,415.03
  5. Step 5: Solve for x
    x = 2,896,499,415.03/73,616.40
  6. Step 6: Final answer
    x = 39,345.84

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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.