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Finding the Fourth Proportional to 75,901.32, 113,864.22 and 28,520.10

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Solution

The fourth proportional to 75,901.32, 113,864.22 and 28,520.10 is: 42,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,901.32 : 113,864.22 = 28,520.10 : x
  2. Step 2: Convert to fraction form
    75,901.32/113,864.22 = 28,520.10/x
  3. Step 3: Cross multiply
    75,901.32x = 113,864.22 × 28,520.10
  4. Step 4: Simplify right side
    75,901.32x = 3,247,418,940.82
  5. Step 5: Solve for x
    x = 3,247,418,940.82/75,901.32
  6. Step 6: Final answer
    x = 42,784.75

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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.