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Finding the Fourth Proportional to 47,698.47, 65,824.14 and 29,803.86

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Solution

The fourth proportional to 47,698.47, 65,824.14 and 29,803.86 is: 41,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.47 : 65,824.14 = 29,803.86 : x
  2. Step 2: Convert to fraction form
    47,698.47/65,824.14 = 29,803.86/x
  3. Step 3: Cross multiply
    47,698.47x = 65,824.14 × 29,803.86
  4. Step 4: Simplify right side
    47,698.47x = 1,961,813,453.18
  5. Step 5: Solve for x
    x = 1,961,813,453.18/47,698.47
  6. Step 6: Final answer
    x = 41,129.48

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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.