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Finding the Fourth Proportional to 52,982.61, 79,473.98 and 13,539.76

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Solution

The fourth proportional to 52,982.61, 79,473.98 and 13,539.76 is: 20,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982.61 : 79,473.98 = 13,539.76 : x
  2. Step 2: Convert to fraction form
    52,982.61/79,473.98 = 13,539.76/x
  3. Step 3: Cross multiply
    52,982.61x = 79,473.98 × 13,539.76
  4. Step 4: Simplify right side
    52,982.61x = 1,076,058,615.44
  5. Step 5: Solve for x
    x = 1,076,058,615.44/52,982.61
  6. Step 6: Final answer
    x = 20,309.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.