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Finding the Fourth Proportional to 73,691.75, 101,711.02 and 46,829.01

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Solution

The fourth proportional to 73,691.75, 101,711.02 and 46,829.01 is: 64,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,691.75 : 101,711.02 = 46,829.01 : x
  2. Step 2: Convert to fraction form
    73,691.75/101,711.02 = 46,829.01/x
  3. Step 3: Cross multiply
    73,691.75x = 101,711.02 × 46,829.01
  4. Step 4: Simplify right side
    73,691.75x = 4,763,026,372.69
  5. Step 5: Solve for x
    x = 4,763,026,372.69/73,691.75
  6. Step 6: Final answer
    x = 64,634.46

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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.