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Finding the Fourth Proportional to 47,532.86, 65,602.38 and 27,385.91

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Solution

The fourth proportional to 47,532.86, 65,602.38 and 27,385.91 is: 37,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,532.86 : 65,602.38 = 27,385.91 : x
  2. Step 2: Convert to fraction form
    47,532.86/65,602.38 = 27,385.91/x
  3. Step 3: Cross multiply
    47,532.86x = 65,602.38 × 27,385.91
  4. Step 4: Simplify right side
    47,532.86x = 1,796,580,546.45
  5. Step 5: Solve for x
    x = 1,796,580,546.45/47,532.86
  6. Step 6: Final answer
    x = 37,796.61

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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.