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Finding the Fourth Proportional to 47,894.40, 66,094.38 and 27,755.16

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Solution

The fourth proportional to 47,894.40, 66,094.38 and 27,755.16 is: 38,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,894.40 : 66,094.38 = 27,755.16 : x
  2. Step 2: Convert to fraction form
    47,894.40/66,094.38 = 27,755.16/x
  3. Step 3: Cross multiply
    47,894.40x = 66,094.38 × 27,755.16
  4. Step 4: Simplify right side
    47,894.40x = 1,834,460,092.00
  5. Step 5: Solve for x
    x = 1,834,460,092.00/47,894.40
  6. Step 6: Final answer
    x = 38,302.18

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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.