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Finding the Fourth Proportional to 86,567.64, 129,849.84 and 27,406.86

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Solution

The fourth proportional to 86,567.64, 129,849.84 and 27,406.86 is: 41,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,567.64 : 129,849.84 = 27,406.86 : x
  2. Step 2: Convert to fraction form
    86,567.64/129,849.84 = 27,406.86/x
  3. Step 3: Cross multiply
    86,567.64x = 129,849.84 × 27,406.86
  4. Step 4: Simplify right side
    86,567.64x = 3,558,776,385.90
  5. Step 5: Solve for x
    x = 3,558,776,385.90/86,567.64
  6. Step 6: Final answer
    x = 41,109.78

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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.