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Finding the Fourth Proportional to 37,921.48, 56,875.74 and 10,213

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Solution

The fourth proportional to 37,921.48, 56,875.74 and 10,213 is: 15,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,921.48 : 56,875.74 = 10,213 : x
  2. Step 2: Convert to fraction form
    37,921.48/56,875.74 = 10,213/x
  3. Step 3: Cross multiply
    37,921.48x = 56,875.74 × 10,213
  4. Step 4: Simplify right side
    37,921.48x = 580,871,932.62
  5. Step 5: Solve for x
    x = 580,871,932.62/37,921.48
  6. Step 6: Final answer
    x = 15,317.75

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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.