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Finding the Fourth Proportional to 54,349.50, 74,970.44 and 34,174.40

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Solution

The fourth proportional to 54,349.50, 74,970.44 and 34,174.40 is: 47,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,349.50 : 74,970.44 = 34,174.40 : x
  2. Step 2: Convert to fraction form
    54,349.50/74,970.44 = 34,174.40/x
  3. Step 3: Cross multiply
    54,349.50x = 74,970.44 × 34,174.40
  4. Step 4: Simplify right side
    54,349.50x = 2,562,069,804.74
  5. Step 5: Solve for x
    x = 2,562,069,804.74/54,349.50
  6. Step 6: Final answer
    x = 47,140.63

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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.