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Finding the Fourth Proportional to 37,470, 56,206.08 and 11,174.16

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Solution

The fourth proportional to 37,470, 56,206.08 and 11,174.16 is: 16,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,470 : 56,206.08 = 11,174.16 : x
  2. Step 2: Convert to fraction form
    37,470/56,206.08 = 11,174.16/x
  3. Step 3: Cross multiply
    37,470x = 56,206.08 × 11,174.16
  4. Step 4: Simplify right side
    37,470x = 628,055,730.89
  5. Step 5: Solve for x
    x = 628,055,730.89/37,470
  6. Step 6: Final answer
    x = 16,761.56

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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.