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Finding the Fourth Proportional to 82,570.80, 113,688.72 and 72,870.24

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Solution

The fourth proportional to 82,570.80, 113,688.72 and 72,870.24 is: 100,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,570.80 : 113,688.72 = 72,870.24 : x
  2. Step 2: Convert to fraction form
    82,570.80/113,688.72 = 72,870.24/x
  3. Step 3: Cross multiply
    82,570.80x = 113,688.72 × 72,870.24
  4. Step 4: Simplify right side
    82,570.80x = 8,284,524,311.69
  5. Step 5: Solve for x
    x = 8,284,524,311.69/82,570.80
  6. Step 6: Final answer
    x = 100,332.37

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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.