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Finding the Fourth Proportional to 40,144.84, 55,421.70 and 24,233

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Solution

The fourth proportional to 40,144.84, 55,421.70 and 24,233 is: 33,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,144.84 : 55,421.70 = 24,233 : x
  2. Step 2: Convert to fraction form
    40,144.84/55,421.70 = 24,233/x
  3. Step 3: Cross multiply
    40,144.84x = 55,421.70 × 24,233
  4. Step 4: Simplify right side
    40,144.84x = 1,343,034,056.10
  5. Step 5: Solve for x
    x = 1,343,034,056.10/40,144.84
  6. Step 6: Final answer
    x = 33,454.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.