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Finding the Fourth Proportional to 37,413, 51,630.12 and 20,647.08

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Solution

The fourth proportional to 37,413, 51,630.12 and 20,647.08 is: 28,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,413 : 51,630.12 = 20,647.08 : x
  2. Step 2: Convert to fraction form
    37,413/51,630.12 = 20,647.08/x
  3. Step 3: Cross multiply
    37,413x = 51,630.12 × 20,647.08
  4. Step 4: Simplify right side
    37,413x = 1,066,011,218.05
  5. Step 5: Solve for x
    x = 1,066,011,218.05/37,413
  6. Step 6: Final answer
    x = 28,493.07

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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.