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Finding the Fourth Proportional to 37,017.96, 55,647.36 and 29,702.58

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Solution

The fourth proportional to 37,017.96, 55,647.36 and 29,702.58 is: 44,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,017.96 : 55,647.36 = 29,702.58 : x
  2. Step 2: Convert to fraction form
    37,017.96/55,647.36 = 29,702.58/x
  3. Step 3: Cross multiply
    37,017.96x = 55,647.36 × 29,702.58
  4. Step 4: Simplify right side
    37,017.96x = 1,652,870,162.19
  5. Step 5: Solve for x
    x = 1,652,870,162.19/37,017.96
  6. Step 6: Final answer
    x = 44,650.49

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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.