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Finding the Fourth Proportional to 47,736, 65,893.32 and 40,994.46

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Solution

The fourth proportional to 47,736, 65,893.32 and 40,994.46 is: 56,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,736 : 65,893.32 = 40,994.46 : x
  2. Step 2: Convert to fraction form
    47,736/65,893.32 = 40,994.46/x
  3. Step 3: Cross multiply
    47,736x = 65,893.32 × 40,994.46
  4. Step 4: Simplify right side
    47,736x = 2,701,261,071.01
  5. Step 5: Solve for x
    x = 2,701,261,071.01/47,736
  6. Step 6: Final answer
    x = 56,587.50

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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.