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Finding the Fourth Proportional to 53,692.56, 80,534.04 and 24,102.48

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Solution

The fourth proportional to 53,692.56, 80,534.04 and 24,102.48 is: 36,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,692.56 : 80,534.04 = 24,102.48 : x
  2. Step 2: Convert to fraction form
    53,692.56/80,534.04 = 24,102.48/x
  3. Step 3: Cross multiply
    53,692.56x = 80,534.04 × 24,102.48
  4. Step 4: Simplify right side
    53,692.56x = 1,941,070,088.42
  5. Step 5: Solve for x
    x = 1,941,070,088.42/53,692.56
  6. Step 6: Final answer
    x = 36,151.57

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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.