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Finding the Fourth Proportional to 47,718.57, 65,848.65 and 27,572.20

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Solution

The fourth proportional to 47,718.57, 65,848.65 and 27,572.20 is: 38,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718.57 : 65,848.65 = 27,572.20 : x
  2. Step 2: Convert to fraction form
    47,718.57/65,848.65 = 27,572.20/x
  3. Step 3: Cross multiply
    47,718.57x = 65,848.65 × 27,572.20
  4. Step 4: Simplify right side
    47,718.57x = 1,815,591,879.51
  5. Step 5: Solve for x
    x = 1,815,591,879.51/47,718.57
  6. Step 6: Final answer
    x = 38,047.91

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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.