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Finding the Fourth Proportional to 67,759.36, 101,732.14 and 34,501.77

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Solution

The fourth proportional to 67,759.36, 101,732.14 and 34,501.77 is: 51,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,759.36 : 101,732.14 = 34,501.77 : x
  2. Step 2: Convert to fraction form
    67,759.36/101,732.14 = 34,501.77/x
  3. Step 3: Cross multiply
    67,759.36x = 101,732.14 × 34,501.77
  4. Step 4: Simplify right side
    67,759.36x = 3,509,938,895.89
  5. Step 5: Solve for x
    x = 3,509,938,895.89/67,759.36
  6. Step 6: Final answer
    x = 51,800.06

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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.