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Finding the Fourth Proportional to 73,863.84, 101,934.80 and 42,035.36

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Solution

The fourth proportional to 73,863.84, 101,934.80 and 42,035.36 is: 58,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,863.84 : 101,934.80 = 42,035.36 : x
  2. Step 2: Convert to fraction form
    73,863.84/101,934.80 = 42,035.36/x
  3. Step 3: Cross multiply
    73,863.84x = 101,934.80 × 42,035.36
  4. Step 4: Simplify right side
    73,863.84x = 4,284,866,014.53
  5. Step 5: Solve for x
    x = 4,284,866,014.53/73,863.84
  6. Step 6: Final answer
    x = 58,010.33

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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.