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Finding the Fourth Proportional to 50,577.82, 75,802.94 and 25,624.15

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Solution

The fourth proportional to 50,577.82, 75,802.94 and 25,624.15 is: 38,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,577.82 : 75,802.94 = 25,624.15 : x
  2. Step 2: Convert to fraction form
    50,577.82/75,802.94 = 25,624.15/x
  3. Step 3: Cross multiply
    50,577.82x = 75,802.94 × 25,624.15
  4. Step 4: Simplify right side
    50,577.82x = 1,942,385,683.46
  5. Step 5: Solve for x
    x = 1,942,385,683.46/50,577.82
  6. Step 6: Final answer
    x = 38,403.90

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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.