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Finding the Fourth Proportional to 37,407.50, 51,629.02 and 22,301.15

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Solution

The fourth proportional to 37,407.50, 51,629.02 and 22,301.15 is: 30,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,407.50 : 51,629.02 = 22,301.15 : x
  2. Step 2: Convert to fraction form
    37,407.50/51,629.02 = 22,301.15/x
  3. Step 3: Cross multiply
    37,407.50x = 51,629.02 × 22,301.15
  4. Step 4: Simplify right side
    37,407.50x = 1,151,386,519.37
  5. Step 5: Solve for x
    x = 1,151,386,519.37/37,407.50
  6. Step 6: Final answer
    x = 30,779.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.