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Finding the Fourth Proportional to 47,657.41, 71,373.40 and 41,383.32

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Solution

The fourth proportional to 47,657.41, 71,373.40 and 41,383.32 is: 61,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657.41 : 71,373.40 = 41,383.32 : x
  2. Step 2: Convert to fraction form
    47,657.41/71,373.40 = 41,383.32/x
  3. Step 3: Cross multiply
    47,657.41x = 71,373.40 × 41,383.32
  4. Step 4: Simplify right side
    47,657.41x = 2,953,667,880.58
  5. Step 5: Solve for x
    x = 2,953,667,880.58/47,657.41
  6. Step 6: Final answer
    x = 61,977.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.