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Finding the Fourth Proportional to 52,658.12, 72,634.26 and 31,421

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Solution

The fourth proportional to 52,658.12, 72,634.26 and 31,421 is: 43,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,658.12 : 72,634.26 = 31,421 : x
  2. Step 2: Convert to fraction form
    52,658.12/72,634.26 = 31,421/x
  3. Step 3: Cross multiply
    52,658.12x = 72,634.26 × 31,421
  4. Step 4: Simplify right side
    52,658.12x = 2,282,241,083.46
  5. Step 5: Solve for x
    x = 2,282,241,083.46/52,658.12
  6. Step 6: Final answer
    x = 43,340.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.