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Finding the Fourth Proportional to 82,873.71, 114,357.15 and 46,569.39

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Solution

The fourth proportional to 82,873.71, 114,357.15 and 46,569.39 is: 64,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.71 : 114,357.15 = 46,569.39 : x
  2. Step 2: Convert to fraction form
    82,873.71/114,357.15 = 46,569.39/x
  3. Step 3: Cross multiply
    82,873.71x = 114,357.15 × 46,569.39
  4. Step 4: Simplify right side
    82,873.71x = 5,325,542,717.64
  5. Step 5: Solve for x
    x = 5,325,542,717.64/82,873.71
  6. Step 6: Final answer
    x = 64,260.94

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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.