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Finding the Fourth Proportional to 37,930.48, 56,889.24 and 10,222

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Solution

The fourth proportional to 37,930.48, 56,889.24 and 10,222 is: 15,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,930.48 : 56,889.24 = 10,222 : x
  2. Step 2: Convert to fraction form
    37,930.48/56,889.24 = 10,222/x
  3. Step 3: Cross multiply
    37,930.48x = 56,889.24 × 10,222
  4. Step 4: Simplify right side
    37,930.48x = 581,521,811.28
  5. Step 5: Solve for x
    x = 581,521,811.28/37,930.48
  6. Step 6: Final answer
    x = 15,331.25

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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.