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Finding the Fourth Proportional to 82,095, 113,290.92 and 46,284.76

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Solution

The fourth proportional to 82,095, 113,290.92 and 46,284.76 is: 63,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,095 : 113,290.92 = 46,284.76 : x
  2. Step 2: Convert to fraction form
    82,095/113,290.92 = 46,284.76/x
  3. Step 3: Cross multiply
    82,095x = 113,290.92 × 46,284.76
  4. Step 4: Simplify right side
    82,095x = 5,243,643,042.38
  5. Step 5: Solve for x
    x = 5,243,643,042.38/82,095
  6. Step 6: Final answer
    x = 63,872.87

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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.