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Finding the Fourth Proportional to 50,214.65, 75,322.49 and 12,774.74

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Solution

The fourth proportional to 50,214.65, 75,322.49 and 12,774.74 is: 19,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214.65 : 75,322.49 = 12,774.74 : x
  2. Step 2: Convert to fraction form
    50,214.65/75,322.49 = 12,774.74/x
  3. Step 3: Cross multiply
    50,214.65x = 75,322.49 × 12,774.74
  4. Step 4: Simplify right side
    50,214.65x = 962,225,037.60
  5. Step 5: Solve for x
    x = 962,225,037.60/50,214.65
  6. Step 6: Final answer
    x = 19,162.24

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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.