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Finding the Fourth Proportional to 73,406.16, 110,116.53 and 23,473.71

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Solution

The fourth proportional to 73,406.16, 110,116.53 and 23,473.71 is: 35,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,406.16 : 110,116.53 = 23,473.71 : x
  2. Step 2: Convert to fraction form
    73,406.16/110,116.53 = 23,473.71/x
  3. Step 3: Cross multiply
    73,406.16x = 110,116.53 × 23,473.71
  4. Step 4: Simplify right side
    73,406.16x = 2,584,843,491.43
  5. Step 5: Solve for x
    x = 2,584,843,491.43/73,406.16
  6. Step 6: Final answer
    x = 35,212.90

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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.