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Finding the Fourth Proportional to 53,403.84, 80,061.84 and 31,162.32

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Solution

The fourth proportional to 53,403.84, 80,061.84 and 31,162.32 is: 46,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403.84 : 80,061.84 = 31,162.32 : x
  2. Step 2: Convert to fraction form
    53,403.84/80,061.84 = 31,162.32/x
  3. Step 3: Cross multiply
    53,403.84x = 80,061.84 × 31,162.32
  4. Step 4: Simplify right side
    53,403.84x = 2,494,912,677.87
  5. Step 5: Solve for x
    x = 2,494,912,677.87/53,403.84
  6. Step 6: Final answer
    x = 46,717.85

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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.