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Finding the Fourth Proportional to 75,465.40, 113,327.70 and 53,433.40

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Solution

The fourth proportional to 75,465.40, 113,327.70 and 53,433.40 is: 80,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465.40 : 113,327.70 = 53,433.40 : x
  2. Step 2: Convert to fraction form
    75,465.40/113,327.70 = 53,433.40/x
  3. Step 3: Cross multiply
    75,465.40x = 113,327.70 × 53,433.40
  4. Step 4: Simplify right side
    75,465.40x = 6,055,484,325.18
  5. Step 5: Solve for x
    x = 6,055,484,325.18/75,465.40
  6. Step 6: Final answer
    x = 80,241.86

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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.