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Finding the Fourth Proportional to 27,345.82, 37,737.25 and 14,770.57

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Solution

The fourth proportional to 27,345.82, 37,737.25 and 14,770.57 is: 20,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345.82 : 37,737.25 = 14,770.57 : x
  2. Step 2: Convert to fraction form
    27,345.82/37,737.25 = 14,770.57/x
  3. Step 3: Cross multiply
    27,345.82x = 37,737.25 × 14,770.57
  4. Step 4: Simplify right side
    27,345.82x = 557,400,430.19
  5. Step 5: Solve for x
    x = 557,400,430.19/27,345.82
  6. Step 6: Final answer
    x = 20,383.39

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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.