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Finding the Fourth Proportional to 54,190.58, 74,728.05 and 32,949.14

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Solution

The fourth proportional to 54,190.58, 74,728.05 and 32,949.14 is: 45,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,190.58 : 74,728.05 = 32,949.14 : x
  2. Step 2: Convert to fraction form
    54,190.58/74,728.05 = 32,949.14/x
  3. Step 3: Cross multiply
    54,190.58x = 74,728.05 × 32,949.14
  4. Step 4: Simplify right side
    54,190.58x = 2,462,224,981.38
  5. Step 5: Solve for x
    x = 2,462,224,981.38/54,190.58
  6. Step 6: Final answer
    x = 45,436.40

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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.