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Finding the Fourth Proportional to 37,406.30, 56,083.53 and 14,026.46

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Solution

The fourth proportional to 37,406.30, 56,083.53 and 14,026.46 is: 21,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,406.30 : 56,083.53 = 14,026.46 : x
  2. Step 2: Convert to fraction form
    37,406.30/56,083.53 = 14,026.46/x
  3. Step 3: Cross multiply
    37,406.30x = 56,083.53 × 14,026.46
  4. Step 4: Simplify right side
    37,406.30x = 786,653,390.20
  5. Step 5: Solve for x
    x = 786,653,390.20/37,406.30
  6. Step 6: Final answer
    x = 21,029.97

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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.