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Finding the Fourth Proportional to 47,915.33, 66,123.12 and 27,783.92

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Solution

The fourth proportional to 47,915.33, 66,123.12 and 27,783.92 is: 38,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,915.33 : 66,123.12 = 27,783.92 : x
  2. Step 2: Convert to fraction form
    47,915.33/66,123.12 = 27,783.92/x
  3. Step 3: Cross multiply
    47,915.33x = 66,123.12 × 27,783.92
  4. Step 4: Simplify right side
    47,915.33x = 1,837,159,476.23
  5. Step 5: Solve for x
    x = 1,837,159,476.23/47,915.33
  6. Step 6: Final answer
    x = 38,341.79

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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.