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Finding the Fourth Proportional to 52,524.81, 78,787.90 and 17,464.47

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Solution

The fourth proportional to 52,524.81, 78,787.90 and 17,464.47 is: 26,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524.81 : 78,787.90 = 17,464.47 : x
  2. Step 2: Convert to fraction form
    52,524.81/78,787.90 = 17,464.47/x
  3. Step 3: Cross multiply
    52,524.81x = 78,787.90 × 17,464.47
  4. Step 4: Simplify right side
    52,524.81x = 1,375,988,915.91
  5. Step 5: Solve for x
    x = 1,375,988,915.91/52,524.81
  6. Step 6: Final answer
    x = 26,196.93

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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.