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Finding the Fourth Proportional to 82,577.31, 113,958.80 and 46,766.80

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Solution

The fourth proportional to 82,577.31, 113,958.80 and 46,766.80 is: 64,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,577.31 : 113,958.80 = 46,766.80 : x
  2. Step 2: Convert to fraction form
    82,577.31/113,958.80 = 46,766.80/x
  3. Step 3: Cross multiply
    82,577.31x = 113,958.80 × 46,766.80
  4. Step 4: Simplify right side
    82,577.31x = 5,329,488,407.84
  5. Step 5: Solve for x
    x = 5,329,488,407.84/82,577.31
  6. Step 6: Final answer
    x = 64,539.38

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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.