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Finding the Fourth Proportional to 75,283, 112,976.34 and 26,035

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Solution

The fourth proportional to 75,283, 112,976.34 and 26,035 is: 39,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,283 : 112,976.34 = 26,035 : x
  2. Step 2: Convert to fraction form
    75,283/112,976.34 = 26,035/x
  3. Step 3: Cross multiply
    75,283x = 112,976.34 × 26,035
  4. Step 4: Simplify right side
    75,283x = 2,941,339,011.90
  5. Step 5: Solve for x
    x = 2,941,339,011.90/75,283
  6. Step 6: Final answer
    x = 39,070.43

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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.