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Finding the Fourth Proportional to 53,378.96, 80,041.24 and 17,827.49

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Solution

The fourth proportional to 53,378.96, 80,041.24 and 17,827.49 is: 26,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,378.96 : 80,041.24 = 17,827.49 : x
  2. Step 2: Convert to fraction form
    53,378.96/80,041.24 = 17,827.49/x
  3. Step 3: Cross multiply
    53,378.96x = 80,041.24 × 17,827.49
  4. Step 4: Simplify right side
    53,378.96x = 1,426,934,561.22
  5. Step 5: Solve for x
    x = 1,426,934,561.22/53,378.96
  6. Step 6: Final answer
    x = 26,732.15

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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.