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Finding the Fourth Proportional to 56,403.84, 84,608.27 and 31,424.96

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Solution

The fourth proportional to 56,403.84, 84,608.27 and 31,424.96 is: 47,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,403.84 : 84,608.27 = 31,424.96 : x
  2. Step 2: Convert to fraction form
    56,403.84/84,608.27 = 31,424.96/x
  3. Step 3: Cross multiply
    56,403.84x = 84,608.27 × 31,424.96
  4. Step 4: Simplify right side
    56,403.84x = 2,658,811,500.42
  5. Step 5: Solve for x
    x = 2,658,811,500.42/56,403.84
  6. Step 6: Final answer
    x = 47,138.84

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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.