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Finding the Fourth Proportional to 82,774.68, 114,241.10 and 46,480.20

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Solution

The fourth proportional to 82,774.68, 114,241.10 and 46,480.20 is: 64,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,774.68 : 114,241.10 = 46,480.20 : x
  2. Step 2: Convert to fraction form
    82,774.68/114,241.10 = 46,480.20/x
  3. Step 3: Cross multiply
    82,774.68x = 114,241.10 × 46,480.20
  4. Step 4: Simplify right side
    82,774.68x = 5,309,948,943.82
  5. Step 5: Solve for x
    x = 5,309,948,943.82/82,774.68
  6. Step 6: Final answer
    x = 64,149.43

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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.