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Finding the Fourth Proportional to 82,065.30, 113,250.87 and 46,252.14

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Solution

The fourth proportional to 82,065.30, 113,250.87 and 46,252.14 is: 63,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065.30 : 113,250.87 = 46,252.14 : x
  2. Step 2: Convert to fraction form
    82,065.30/113,250.87 = 46,252.14/x
  3. Step 3: Cross multiply
    82,065.30x = 113,250.87 × 46,252.14
  4. Step 4: Simplify right side
    82,065.30x = 5,238,095,094.36
  5. Step 5: Solve for x
    x = 5,238,095,094.36/82,065.30
  6. Step 6: Final answer
    x = 63,828.38

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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.