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Finding the Fourth Proportional to 47,945.66, 66,150.32 and 27,798.49

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Solution

The fourth proportional to 47,945.66, 66,150.32 and 27,798.49 is: 38,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,945.66 : 66,150.32 = 27,798.49 : x
  2. Step 2: Convert to fraction form
    47,945.66/66,150.32 = 27,798.49/x
  3. Step 3: Cross multiply
    47,945.66x = 66,150.32 × 27,798.49
  4. Step 4: Simplify right side
    47,945.66x = 1,838,879,109.08
  5. Step 5: Solve for x
    x = 1,838,879,109.08/47,945.66
  6. Step 6: Final answer
    x = 38,353.40

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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.