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Finding the Fourth Proportional to 47,700.78, 65,830.14 and 27,558.54

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Solution

The fourth proportional to 47,700.78, 65,830.14 and 27,558.54 is: 38,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,700.78 : 65,830.14 = 27,558.54 : x
  2. Step 2: Convert to fraction form
    47,700.78/65,830.14 = 27,558.54/x
  3. Step 3: Cross multiply
    47,700.78x = 65,830.14 × 27,558.54
  4. Step 4: Simplify right side
    47,700.78x = 1,814,182,546.40
  5. Step 5: Solve for x
    x = 1,814,182,546.40/47,700.78
  6. Step 6: Final answer
    x = 38,032.56

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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.