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Finding the Fourth Proportional to 37,481.71, 56,222.56 and 9,779.71

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Solution

The fourth proportional to 37,481.71, 56,222.56 and 9,779.71 is: 14,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,481.71 : 56,222.56 = 9,779.71 : x
  2. Step 2: Convert to fraction form
    37,481.71/56,222.56 = 9,779.71/x
  3. Step 3: Cross multiply
    37,481.71x = 56,222.56 × 9,779.71
  4. Step 4: Simplify right side
    37,481.71x = 549,840,283.36
  5. Step 5: Solve for x
    x = 549,840,283.36/37,481.71
  6. Step 6: Final answer
    x = 14,669.56

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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.