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Finding the Fourth Proportional to 27,365.78, 37,764.72 and 14,790.50

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Solution

The fourth proportional to 27,365.78, 37,764.72 and 14,790.50 is: 20,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,365.78 : 37,764.72 = 14,790.50 : x
  2. Step 2: Convert to fraction form
    27,365.78/37,764.72 = 14,790.50/x
  3. Step 3: Cross multiply
    27,365.78x = 37,764.72 × 14,790.50
  4. Step 4: Simplify right side
    27,365.78x = 558,559,091.16
  5. Step 5: Solve for x
    x = 558,559,091.16/27,365.78
  6. Step 6: Final answer
    x = 20,410.86

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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.