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Finding the Fourth Proportional to 54,213.44, 74,848.51 and 34,840.21

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Solution

The fourth proportional to 54,213.44, 74,848.51 and 34,840.21 is: 48,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,213.44 : 74,848.51 = 34,840.21 : x
  2. Step 2: Convert to fraction form
    54,213.44/74,848.51 = 34,840.21/x
  3. Step 3: Cross multiply
    54,213.44x = 74,848.51 × 34,840.21
  4. Step 4: Simplify right side
    54,213.44x = 2,607,738,080.81
  5. Step 5: Solve for x
    x = 2,607,738,080.81/54,213.44
  6. Step 6: Final answer
    x = 48,101.32

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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.