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Finding the Fourth Proportional to 54,737.36, 82,045.80 and 21,451.20

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Solution

The fourth proportional to 54,737.36, 82,045.80 and 21,451.20 is: 32,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737.36 : 82,045.80 = 21,451.20 : x
  2. Step 2: Convert to fraction form
    54,737.36/82,045.80 = 21,451.20/x
  3. Step 3: Cross multiply
    54,737.36x = 82,045.80 × 21,451.20
  4. Step 4: Simplify right side
    54,737.36x = 1,759,980,864.96
  5. Step 5: Solve for x
    x = 1,759,980,864.96/54,737.36
  6. Step 6: Final answer
    x = 32,153.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.