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Finding the Fourth Proportional to 75,775.68, 104,568.15 and 41,784.15

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Solution

The fourth proportional to 75,775.68, 104,568.15 and 41,784.15 is: 57,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,775.68 : 104,568.15 = 41,784.15 : x
  2. Step 2: Convert to fraction form
    75,775.68/104,568.15 = 41,784.15/x
  3. Step 3: Cross multiply
    75,775.68x = 104,568.15 × 41,784.15
  4. Step 4: Simplify right side
    75,775.68x = 4,369,291,264.82
  5. Step 5: Solve for x
    x = 4,369,291,264.82/75,775.68
  6. Step 6: Final answer
    x = 57,660.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.