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Finding the Fourth Proportional to 83,117.50, 114,739.91 and 52,944.19

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Solution

The fourth proportional to 83,117.50, 114,739.91 and 52,944.19 is: 73,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.50 : 114,739.91 = 52,944.19 : x
  2. Step 2: Convert to fraction form
    83,117.50/114,739.91 = 52,944.19/x
  3. Step 3: Cross multiply
    83,117.50x = 114,739.91 × 52,944.19
  4. Step 4: Simplify right side
    83,117.50x = 6,074,811,242.59
  5. Step 5: Solve for x
    x = 6,074,811,242.59/83,117.50
  6. Step 6: Final answer
    x = 73,087.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.