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Finding the Fourth Proportional to 75,464.88, 113,153.88 and 31,122.32

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Solution

The fourth proportional to 75,464.88, 113,153.88 and 31,122.32 is: 46,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,464.88 : 113,153.88 = 31,122.32 : x
  2. Step 2: Convert to fraction form
    75,464.88/113,153.88 = 31,122.32/x
  3. Step 3: Cross multiply
    75,464.88x = 113,153.88 × 31,122.32
  4. Step 4: Simplify right side
    75,464.88x = 3,521,611,262.60
  5. Step 5: Solve for x
    x = 3,521,611,262.60/75,464.88
  6. Step 6: Final answer
    x = 46,665.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.