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Finding the Fourth Proportional to 83,895.45, 115,775.69 and 46,169.70

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Solution

The fourth proportional to 83,895.45, 115,775.69 and 46,169.70 is: 63,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,895.45 : 115,775.69 = 46,169.70 : x
  2. Step 2: Convert to fraction form
    83,895.45/115,775.69 = 46,169.70/x
  3. Step 3: Cross multiply
    83,895.45x = 115,775.69 × 46,169.70
  4. Step 4: Simplify right side
    83,895.45x = 5,345,328,426.67
  5. Step 5: Solve for x
    x = 5,345,328,426.67/83,895.45
  6. Step 6: Final answer
    x = 63,714.17

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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.