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Finding the Fourth Proportional to 75,509.88, 113,302.89 and 53,464.92

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Solution

The fourth proportional to 75,509.88, 113,302.89 and 53,464.92 is: 80,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,509.88 : 113,302.89 = 53,464.92 : x
  2. Step 2: Convert to fraction form
    75,509.88/113,302.89 = 53,464.92/x
  3. Step 3: Cross multiply
    75,509.88x = 113,302.89 × 53,464.92
  4. Step 4: Simplify right side
    75,509.88x = 6,057,729,949.62
  5. Step 5: Solve for x
    x = 6,057,729,949.62/75,509.88
  6. Step 6: Final answer
    x = 80,224.34

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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.