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Finding the Fourth Proportional to 50,214.84, 75,322.74 and 15,154.80

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Solution

The fourth proportional to 50,214.84, 75,322.74 and 15,154.80 is: 22,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214.84 : 75,322.74 = 15,154.80 : x
  2. Step 2: Convert to fraction form
    50,214.84/75,322.74 = 15,154.80/x
  3. Step 3: Cross multiply
    50,214.84x = 75,322.74 × 15,154.80
  4. Step 4: Simplify right side
    50,214.84x = 1,141,501,060.15
  5. Step 5: Solve for x
    x = 1,141,501,060.15/50,214.84
  6. Step 6: Final answer
    x = 22,732.34

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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.