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Finding the Fourth Proportional to 37,729.93, 56,594.31 and 9,649.73

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Solution

The fourth proportional to 37,729.93, 56,594.31 and 9,649.73 is: 14,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,729.93 : 56,594.31 = 9,649.73 : x
  2. Step 2: Convert to fraction form
    37,729.93/56,594.31 = 9,649.73/x
  3. Step 3: Cross multiply
    37,729.93x = 56,594.31 × 9,649.73
  4. Step 4: Simplify right side
    37,729.93x = 546,119,929.91
  5. Step 5: Solve for x
    x = 546,119,929.91/37,729.93
  6. Step 6: Final answer
    x = 14,474.45

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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.