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Finding the Fourth Proportional to 73,963.99, 110,952.11 and 31,845.10

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Solution

The fourth proportional to 73,963.99, 110,952.11 and 31,845.10 is: 47,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,963.99 : 110,952.11 = 31,845.10 : x
  2. Step 2: Convert to fraction form
    73,963.99/110,952.11 = 31,845.10/x
  3. Step 3: Cross multiply
    73,963.99x = 110,952.11 × 31,845.10
  4. Step 4: Simplify right side
    73,963.99x = 3,533,281,038.16
  5. Step 5: Solve for x
    x = 3,533,281,038.16/73,963.99
  6. Step 6: Final answer
    x = 47,770.29

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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.