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Finding the Fourth Proportional to 46,767.78, 64,540.80 and 27,915.84

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Solution

The fourth proportional to 46,767.78, 64,540.80 and 27,915.84 is: 38,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767.78 : 64,540.80 = 27,915.84 : x
  2. Step 2: Convert to fraction form
    46,767.78/64,540.80 = 27,915.84/x
  3. Step 3: Cross multiply
    46,767.78x = 64,540.80 × 27,915.84
  4. Step 4: Simplify right side
    46,767.78x = 1,801,710,646.27
  5. Step 5: Solve for x
    x = 1,801,710,646.27/46,767.78
  6. Step 6: Final answer
    x = 38,524.61

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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.