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Finding the Fourth Proportional to 59,679.36, 82,347.84 and 34,524

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Solution

The fourth proportional to 59,679.36, 82,347.84 and 34,524 is: 47,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,679.36 : 82,347.84 = 34,524 : x
  2. Step 2: Convert to fraction form
    59,679.36/82,347.84 = 34,524/x
  3. Step 3: Cross multiply
    59,679.36x = 82,347.84 × 34,524
  4. Step 4: Simplify right side
    59,679.36x = 2,842,976,828.16
  5. Step 5: Solve for x
    x = 2,842,976,828.16/59,679.36
  6. Step 6: Final answer
    x = 47,637.52

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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.