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Finding the Fourth Proportional to 77,187.86, 106,524.98 and 43,199.76

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Solution

The fourth proportional to 77,187.86, 106,524.98 and 43,199.76 is: 59,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,187.86 : 106,524.98 = 43,199.76 : x
  2. Step 2: Convert to fraction form
    77,187.86/106,524.98 = 43,199.76/x
  3. Step 3: Cross multiply
    77,187.86x = 106,524.98 × 43,199.76
  4. Step 4: Simplify right side
    77,187.86x = 4,601,853,570.00
  5. Step 5: Solve for x
    x = 4,601,853,570.00/77,187.86
  6. Step 6: Final answer
    x = 59,618.88

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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.