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Finding the Fourth Proportional to 83,626.86, 115,459.11 and 51,829.50

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Solution

The fourth proportional to 83,626.86, 115,459.11 and 51,829.50 is: 71,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,626.86 : 115,459.11 = 51,829.50 : x
  2. Step 2: Convert to fraction form
    83,626.86/115,459.11 = 51,829.50/x
  3. Step 3: Cross multiply
    83,626.86x = 115,459.11 × 51,829.50
  4. Step 4: Simplify right side
    83,626.86x = 5,984,187,941.75
  5. Step 5: Solve for x
    x = 5,984,187,941.75/83,626.86
  6. Step 6: Final answer
    x = 71,558.20

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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.