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Finding the Fourth Proportional to 54,184.44, 74,608.38 and 47,432.28

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Solution

The fourth proportional to 54,184.44, 74,608.38 and 47,432.28 is: 65,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,184.44 : 74,608.38 = 47,432.28 : x
  2. Step 2: Convert to fraction form
    54,184.44/74,608.38 = 47,432.28/x
  3. Step 3: Cross multiply
    54,184.44x = 74,608.38 × 47,432.28
  4. Step 4: Simplify right side
    54,184.44x = 3,538,845,570.51
  5. Step 5: Solve for x
    x = 3,538,845,570.51/54,184.44
  6. Step 6: Final answer
    x = 65,311.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.