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Finding the Fourth Proportional to 73,233.10, 101,049.69 and 43,012

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Solution

The fourth proportional to 73,233.10, 101,049.69 and 43,012 is: 59,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,233.10 : 101,049.69 = 43,012 : x
  2. Step 2: Convert to fraction form
    73,233.10/101,049.69 = 43,012/x
  3. Step 3: Cross multiply
    73,233.10x = 101,049.69 × 43,012
  4. Step 4: Simplify right side
    73,233.10x = 4,346,349,266.28
  5. Step 5: Solve for x
    x = 4,346,349,266.28/73,233.10
  6. Step 6: Final answer
    x = 59,349.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.