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Finding the Fourth Proportional to 71,699.86, 107,547.36 and 27,325

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Solution

The fourth proportional to 71,699.86, 107,547.36 and 27,325 is: 40,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,699.86 : 107,547.36 = 27,325 : x
  2. Step 2: Convert to fraction form
    71,699.86/107,547.36 = 27,325/x
  3. Step 3: Cross multiply
    71,699.86x = 107,547.36 × 27,325
  4. Step 4: Simplify right side
    71,699.86x = 2,938,731,612
  5. Step 5: Solve for x
    x = 2,938,731,612/71,699.86
  6. Step 6: Final answer
    x = 40,986.57

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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.