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Finding the Fourth Proportional to 55,894.38, 83,841.63 and 14,341.38

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Solution

The fourth proportional to 55,894.38, 83,841.63 and 14,341.38 is: 21,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.38 : 83,841.63 = 14,341.38 : x
  2. Step 2: Convert to fraction form
    55,894.38/83,841.63 = 14,341.38/x
  3. Step 3: Cross multiply
    55,894.38x = 83,841.63 × 14,341.38
  4. Step 4: Simplify right side
    55,894.38x = 1,202,404,675.65
  5. Step 5: Solve for x
    x = 1,202,404,675.65/55,894.38
  6. Step 6: Final answer
    x = 21,512.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.