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Finding the Fourth Proportional to 50,382.81, 75,574.22 and 15,322.50

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Solution

The fourth proportional to 50,382.81, 75,574.22 and 15,322.50 is: 22,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382.81 : 75,574.22 = 15,322.50 : x
  2. Step 2: Convert to fraction form
    50,382.81/75,574.22 = 15,322.50/x
  3. Step 3: Cross multiply
    50,382.81x = 75,574.22 × 15,322.50
  4. Step 4: Simplify right side
    50,382.81x = 1,157,985,909.34
  5. Step 5: Solve for x
    x = 1,157,985,909.34/50,382.81
  6. Step 6: Final answer
    x = 22,983.75

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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.