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Finding the Fourth Proportional to 82,598.40, 124,452.86 and 74,709.71

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Solution

The fourth proportional to 82,598.40, 124,452.86 and 74,709.71 is: 112,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,598.40 : 124,452.86 = 74,709.71 : x
  2. Step 2: Convert to fraction form
    82,598.40/124,452.86 = 74,709.71/x
  3. Step 3: Cross multiply
    82,598.40x = 124,452.86 × 74,709.71
  4. Step 4: Simplify right side
    82,598.40x = 9,297,836,612.57
  5. Step 5: Solve for x
    x = 9,297,836,612.57/82,598.40
  6. Step 6: Final answer
    x = 112,566.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.