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Finding the Fourth Proportional to 59,910.40, 82,692.80 and 34,768

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Solution

The fourth proportional to 59,910.40, 82,692.80 and 34,768 is: 47,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,910.40 : 82,692.80 = 34,768 : x
  2. Step 2: Convert to fraction form
    59,910.40/82,692.80 = 34,768/x
  3. Step 3: Cross multiply
    59,910.40x = 82,692.80 × 34,768
  4. Step 4: Simplify right side
    59,910.40x = 2,875,063,270.40
  5. Step 5: Solve for x
    x = 2,875,063,270.40/59,910.40
  6. Step 6: Final answer
    x = 47,989.39

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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.