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Finding the Fourth Proportional to 47,894.78, 66,094.78 and 27,763.35

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Solution

The fourth proportional to 47,894.78, 66,094.78 and 27,763.35 is: 38,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,894.78 : 66,094.78 = 27,763.35 : x
  2. Step 2: Convert to fraction form
    47,894.78/66,094.78 = 27,763.35/x
  3. Step 3: Cross multiply
    47,894.78x = 66,094.78 × 27,763.35
  4. Step 4: Simplify right side
    47,894.78x = 1,835,012,510.31
  5. Step 5: Solve for x
    x = 1,835,012,510.31/47,894.78
  6. Step 6: Final answer
    x = 38,313.41

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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.