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Finding the Fourth Proportional to 75,662.64, 113,476.68 and 22,343.20

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Solution

The fourth proportional to 75,662.64, 113,476.68 and 22,343.20 is: 33,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,662.64 : 113,476.68 = 22,343.20 : x
  2. Step 2: Convert to fraction form
    75,662.64/113,476.68 = 22,343.20/x
  3. Step 3: Cross multiply
    75,662.64x = 113,476.68 × 22,343.20
  4. Step 4: Simplify right side
    75,662.64x = 2,535,432,156.58
  5. Step 5: Solve for x
    x = 2,535,432,156.58/75,662.64
  6. Step 6: Final answer
    x = 33,509.70

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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.