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Finding the Fourth Proportional to 59,852.80, 82,578.56 and 34,697.28

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Solution

The fourth proportional to 59,852.80, 82,578.56 and 34,697.28 is: 47,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,852.80 : 82,578.56 = 34,697.28 : x
  2. Step 2: Convert to fraction form
    59,852.80/82,578.56 = 34,697.28/x
  3. Step 3: Cross multiply
    59,852.80x = 82,578.56 × 34,697.28
  4. Step 4: Simplify right side
    59,852.80x = 2,865,251,418.32
  5. Step 5: Solve for x
    x = 2,865,251,418.32/59,852.80
  6. Step 6: Final answer
    x = 47,871.64

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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.