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Finding the Fourth Proportional to 36,122.80, 54,184.28 and 9,827.60

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Solution

The fourth proportional to 36,122.80, 54,184.28 and 9,827.60 is: 14,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122.80 : 54,184.28 = 9,827.60 : x
  2. Step 2: Convert to fraction form
    36,122.80/54,184.28 = 9,827.60/x
  3. Step 3: Cross multiply
    36,122.80x = 54,184.28 × 9,827.60
  4. Step 4: Simplify right side
    36,122.80x = 532,501,430.13
  5. Step 5: Solve for x
    x = 532,501,430.13/36,122.80
  6. Step 6: Final answer
    x = 14,741.42

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