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Finding the Fourth Proportional to 37,832.98, 56,745.15 and 14,458.90

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Solution

The fourth proportional to 37,832.98, 56,745.15 and 14,458.90 is: 21,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832.98 : 56,745.15 = 14,458.90 : x
  2. Step 2: Convert to fraction form
    37,832.98/56,745.15 = 14,458.90/x
  3. Step 3: Cross multiply
    37,832.98x = 56,745.15 × 14,458.90
  4. Step 4: Simplify right side
    37,832.98x = 820,472,449.34
  5. Step 5: Solve for x
    x = 820,472,449.34/37,832.98
  6. Step 6: Final answer
    x = 21,686.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.