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Finding the Fourth Proportional to 75,762.75, 113,619.51 and 35,775.55

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Solution

The fourth proportional to 75,762.75, 113,619.51 and 35,775.55 is: 53,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762.75 : 113,619.51 = 35,775.55 : x
  2. Step 2: Convert to fraction form
    75,762.75/113,619.51 = 35,775.55/x
  3. Step 3: Cross multiply
    75,762.75x = 113,619.51 × 35,775.55
  4. Step 4: Simplify right side
    75,762.75x = 4,064,800,460.98
  5. Step 5: Solve for x
    x = 4,064,800,460.98/75,762.75
  6. Step 6: Final answer
    x = 53,651.70

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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.