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Finding the Fourth Proportional to 59,421, 82,001 and 34,270.52

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Solution

The fourth proportional to 59,421, 82,001 and 34,270.52 is: 47,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,421 : 82,001 = 34,270.52 : x
  2. Step 2: Convert to fraction form
    59,421/82,001 = 34,270.52/x
  3. Step 3: Cross multiply
    59,421x = 82,001 × 34,270.52
  4. Step 4: Simplify right side
    59,421x = 2,810,216,910.52
  5. Step 5: Solve for x
    x = 2,810,216,910.52/59,421
  6. Step 6: Final answer
    x = 47,293.33

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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.