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Finding the Fourth Proportional to 47,858.59, 66,027.14 and 47,784.78

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Solution

The fourth proportional to 47,858.59, 66,027.14 and 47,784.78 is: 65,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,858.59 : 66,027.14 = 47,784.78 : x
  2. Step 2: Convert to fraction form
    47,858.59/66,027.14 = 47,784.78/x
  3. Step 3: Cross multiply
    47,858.59x = 66,027.14 × 47,784.78
  4. Step 4: Simplify right side
    47,858.59x = 3,155,092,358.93
  5. Step 5: Solve for x
    x = 3,155,092,358.93/47,858.59
  6. Step 6: Final answer
    x = 65,925.31

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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.