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Finding the Fourth Proportional to 47,712.80, 65,905.65 and 36,313.04

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Solution

The fourth proportional to 47,712.80, 65,905.65 and 36,313.04 is: 50,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.80 : 65,905.65 = 36,313.04 : x
  2. Step 2: Convert to fraction form
    47,712.80/65,905.65 = 36,313.04/x
  3. Step 3: Cross multiply
    47,712.80x = 65,905.65 × 36,313.04
  4. Step 4: Simplify right side
    47,712.80x = 2,393,234,175.15
  5. Step 5: Solve for x
    x = 2,393,234,175.15/47,712.80
  6. Step 6: Final answer
    x = 50,159.17

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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.