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Finding the Fourth Proportional to 37,785.78, 51,925.50 and 36,051.30

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Solution

The fourth proportional to 37,785.78, 51,925.50 and 36,051.30 is: 49,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,785.78 : 51,925.50 = 36,051.30 : x
  2. Step 2: Convert to fraction form
    37,785.78/51,925.50 = 36,051.30/x
  3. Step 3: Cross multiply
    37,785.78x = 51,925.50 × 36,051.30
  4. Step 4: Simplify right side
    37,785.78x = 1,871,981,778.15
  5. Step 5: Solve for x
    x = 1,871,981,778.15/37,785.78
  6. Step 6: Final answer
    x = 49,541.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.