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Finding the Fourth Proportional to 71,203.86, 106,782.30 and 26,214.84

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Solution

The fourth proportional to 71,203.86, 106,782.30 and 26,214.84 is: 39,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,203.86 : 106,782.30 = 26,214.84 : x
  2. Step 2: Convert to fraction form
    71,203.86/106,782.30 = 26,214.84/x
  3. Step 3: Cross multiply
    71,203.86x = 106,782.30 × 26,214.84
  4. Step 4: Simplify right side
    71,203.86x = 2,799,280,909.33
  5. Step 5: Solve for x
    x = 2,799,280,909.33/71,203.86
  6. Step 6: Final answer
    x = 39,313.61

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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.