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Finding the Fourth Proportional to 82,330.87, 113,574.80 and 52,065.22

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Solution

The fourth proportional to 82,330.87, 113,574.80 and 52,065.22 is: 71,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,330.87 : 113,574.80 = 52,065.22 : x
  2. Step 2: Convert to fraction form
    82,330.87/113,574.80 = 52,065.22/x
  3. Step 3: Cross multiply
    82,330.87x = 113,574.80 × 52,065.22
  4. Step 4: Simplify right side
    82,330.87x = 5,913,296,120.26
  5. Step 5: Solve for x
    x = 5,913,296,120.26/82,330.87
  6. Step 6: Final answer
    x = 71,823.56

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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.