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Finding the Fourth Proportional to 67,689.69, 101,534.75 and 23,315.87

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Solution

The fourth proportional to 67,689.69, 101,534.75 and 23,315.87 is: 34,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,689.69 : 101,534.75 = 23,315.87 : x
  2. Step 2: Convert to fraction form
    67,689.69/101,534.75 = 23,315.87/x
  3. Step 3: Cross multiply
    67,689.69x = 101,534.75 × 23,315.87
  4. Step 4: Simplify right side
    67,689.69x = 2,367,370,407.23
  5. Step 5: Solve for x
    x = 2,367,370,407.23/67,689.69
  6. Step 6: Final answer
    x = 34,973.87

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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.