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Finding the Fourth Proportional to 37,477.78, 51,713.10 and 22,376.54

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Solution

The fourth proportional to 37,477.78, 51,713.10 and 22,376.54 is: 30,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477.78 : 51,713.10 = 22,376.54 : x
  2. Step 2: Convert to fraction form
    37,477.78/51,713.10 = 22,376.54/x
  3. Step 3: Cross multiply
    37,477.78x = 51,713.10 × 22,376.54
  4. Step 4: Simplify right side
    37,477.78x = 1,157,160,379.96
  5. Step 5: Solve for x
    x = 1,157,160,379.96/37,477.78
  6. Step 6: Final answer
    x = 30,875.91

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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.