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Finding the Fourth Proportional to 54,957.72, 75,844.59 and 34,807.20

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Solution

The fourth proportional to 54,957.72, 75,844.59 and 34,807.20 is: 48,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,957.72 : 75,844.59 = 34,807.20 : x
  2. Step 2: Convert to fraction form
    54,957.72/75,844.59 = 34,807.20/x
  3. Step 3: Cross multiply
    54,957.72x = 75,844.59 × 34,807.20
  4. Step 4: Simplify right side
    54,957.72x = 2,639,937,813.05
  5. Step 5: Solve for x
    x = 2,639,937,813.05/54,957.72
  6. Step 6: Final answer
    x = 48,035.80

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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.