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Finding the Fourth Proportional to 75,697.76, 113,568.52 and 31,316.24

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Solution

The fourth proportional to 75,697.76, 113,568.52 and 31,316.24 is: 46,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,697.76 : 113,568.52 = 31,316.24 : x
  2. Step 2: Convert to fraction form
    75,697.76/113,568.52 = 31,316.24/x
  3. Step 3: Cross multiply
    75,697.76x = 113,568.52 × 31,316.24
  4. Step 4: Simplify right side
    75,697.76x = 3,556,539,028.76
  5. Step 5: Solve for x
    x = 3,556,539,028.76/75,697.76
  6. Step 6: Final answer
    x = 46,983.41

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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.