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Finding the Fourth Proportional to 70,689.96, 106,032.15 and 23,942.82

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Solution

The fourth proportional to 70,689.96, 106,032.15 and 23,942.82 is: 35,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,689.96 : 106,032.15 = 23,942.82 : x
  2. Step 2: Convert to fraction form
    70,689.96/106,032.15 = 23,942.82/x
  3. Step 3: Cross multiply
    70,689.96x = 106,032.15 × 23,942.82
  4. Step 4: Simplify right side
    70,689.96x = 2,538,708,681.66
  5. Step 5: Solve for x
    x = 2,538,708,681.66/70,689.96
  6. Step 6: Final answer
    x = 35,913.29

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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.