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Finding the Fourth Proportional to 83,106.38, 114,689.58 and 46,814.06

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Solution

The fourth proportional to 83,106.38, 114,689.58 and 46,814.06 is: 64,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,106.38 : 114,689.58 = 46,814.06 : x
  2. Step 2: Convert to fraction form
    83,106.38/114,689.58 = 46,814.06/x
  3. Step 3: Cross multiply
    83,106.38x = 114,689.58 × 46,814.06
  4. Step 4: Simplify right side
    83,106.38x = 5,369,084,879.49
  5. Step 5: Solve for x
    x = 5,369,084,879.49/83,106.38
  6. Step 6: Final answer
    x = 64,604.97

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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.