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Finding the Fourth Proportional to 47,381.58, 65,380.16 and 26,964.11

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Solution

The fourth proportional to 47,381.58, 65,380.16 and 26,964.11 is: 37,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381.58 : 65,380.16 = 26,964.11 : x
  2. Step 2: Convert to fraction form
    47,381.58/65,380.16 = 26,964.11/x
  3. Step 3: Cross multiply
    47,381.58x = 65,380.16 × 26,964.11
  4. Step 4: Simplify right side
    47,381.58x = 1,762,918,056.92
  5. Step 5: Solve for x
    x = 1,762,918,056.92/47,381.58
  6. Step 6: Final answer
    x = 37,206.82

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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.