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Finding the Fourth Proportional to 54,311.72, 74,968.54 and 34,202.25

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Solution

The fourth proportional to 54,311.72, 74,968.54 and 34,202.25 is: 47,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,311.72 : 74,968.54 = 34,202.25 : x
  2. Step 2: Convert to fraction form
    54,311.72/74,968.54 = 34,202.25/x
  3. Step 3: Cross multiply
    54,311.72x = 74,968.54 × 34,202.25
  4. Step 4: Simplify right side
    54,311.72x = 2,564,092,661.71
  5. Step 5: Solve for x
    x = 2,564,092,661.71/54,311.72
  6. Step 6: Final answer
    x = 47,210.67

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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.