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Finding the Fourth Proportional to 53,492.96, 80,239.08 and 41,816

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Solution

The fourth proportional to 53,492.96, 80,239.08 and 41,816 is: 62,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,492.96 : 80,239.08 = 41,816 : x
  2. Step 2: Convert to fraction form
    53,492.96/80,239.08 = 41,816/x
  3. Step 3: Cross multiply
    53,492.96x = 80,239.08 × 41,816
  4. Step 4: Simplify right side
    53,492.96x = 3,355,277,369.28
  5. Step 5: Solve for x
    x = 3,355,277,369.28/53,492.96
  6. Step 6: Final answer
    x = 62,723.72

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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.