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Finding the Fourth Proportional to 82,151.91, 113,370.93 and 46,342.62

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Solution

The fourth proportional to 82,151.91, 113,370.93 and 46,342.62 is: 63,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,151.91 : 113,370.93 = 46,342.62 : x
  2. Step 2: Convert to fraction form
    82,151.91/113,370.93 = 46,342.62/x
  3. Step 3: Cross multiply
    82,151.91x = 113,370.93 × 46,342.62
  4. Step 4: Simplify right side
    82,151.91x = 5,253,905,928.04
  5. Step 5: Solve for x
    x = 5,253,905,928.04/82,151.91
  6. Step 6: Final answer
    x = 63,953.55

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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.