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Finding the Fourth Proportional to 47,884.77, 66,051.05 and 34,434.72

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Solution

The fourth proportional to 47,884.77, 66,051.05 and 34,434.72 is: 47,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,884.77 : 66,051.05 = 34,434.72 : x
  2. Step 2: Convert to fraction form
    47,884.77/66,051.05 = 34,434.72/x
  3. Step 3: Cross multiply
    47,884.77x = 66,051.05 × 34,434.72
  4. Step 4: Simplify right side
    47,884.77x = 2,274,449,240.28
  5. Step 5: Solve for x
    x = 2,274,449,240.28/47,884.77
  6. Step 6: Final answer
    x = 47,498.38

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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.