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Finding the Fourth Proportional to 37,295.90, 56,148 and 34,029.98

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Solution

The fourth proportional to 37,295.90, 56,148 and 34,029.98 is: 51,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,295.90 : 56,148 = 34,029.98 : x
  2. Step 2: Convert to fraction form
    37,295.90/56,148 = 34,029.98/x
  3. Step 3: Cross multiply
    37,295.90x = 56,148 × 34,029.98
  4. Step 4: Simplify right side
    37,295.90x = 1,910,715,317.04
  5. Step 5: Solve for x
    x = 1,910,715,317.04/37,295.90
  6. Step 6: Final answer
    x = 51,231.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.