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Finding the Fourth Proportional to 82,134.66, 113,345.28 and 46,324.98

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Solution

The fourth proportional to 82,134.66, 113,345.28 and 46,324.98 is: 63,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134.66 : 113,345.28 = 46,324.98 : x
  2. Step 2: Convert to fraction form
    82,134.66/113,345.28 = 46,324.98/x
  3. Step 3: Cross multiply
    82,134.66x = 113,345.28 × 46,324.98
  4. Step 4: Simplify right side
    82,134.66x = 5,250,717,829.09
  5. Step 5: Solve for x
    x = 5,250,717,829.09/82,134.66
  6. Step 6: Final answer
    x = 63,928.16

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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.