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Finding the Fourth Proportional to 36,348.96, 54,523.97 and 9,695.50

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Solution

The fourth proportional to 36,348.96, 54,523.97 and 9,695.50 is: 14,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348.96 : 54,523.97 = 9,695.50 : x
  2. Step 2: Convert to fraction form
    36,348.96/54,523.97 = 9,695.50/x
  3. Step 3: Cross multiply
    36,348.96x = 54,523.97 × 9,695.50
  4. Step 4: Simplify right side
    36,348.96x = 528,637,151.14
  5. Step 5: Solve for x
    x = 528,637,151.14/36,348.96
  6. Step 6: Final answer
    x = 14,543.39

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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.