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Finding the Fourth Proportional to 47,227.78, 65,157.22 and 26,798.02

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Solution

The fourth proportional to 47,227.78, 65,157.22 and 26,798.02 is: 36,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,227.78 : 65,157.22 = 26,798.02 : x
  2. Step 2: Convert to fraction form
    47,227.78/65,157.22 = 26,798.02/x
  3. Step 3: Cross multiply
    47,227.78x = 65,157.22 × 26,798.02
  4. Step 4: Simplify right side
    47,227.78x = 1,746,084,192.42
  5. Step 5: Solve for x
    x = 1,746,084,192.42/47,227.78
  6. Step 6: Final answer
    x = 36,971.55

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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.