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Finding the Fourth Proportional to 67,293.17, 101,033.16 and 34,036.64

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Solution

The fourth proportional to 67,293.17, 101,033.16 and 34,036.64 is: 51,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,293.17 : 101,033.16 = 34,036.64 : x
  2. Step 2: Convert to fraction form
    67,293.17/101,033.16 = 34,036.64/x
  3. Step 3: Cross multiply
    67,293.17x = 101,033.16 × 34,036.64
  4. Step 4: Simplify right side
    67,293.17x = 3,438,829,294.98
  5. Step 5: Solve for x
    x = 3,438,829,294.98/67,293.17
  6. Step 6: Final answer
    x = 51,102.20

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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.