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Finding the Fourth Proportional to 47,766.92, 65,901.30 and 32,837

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Solution

The fourth proportional to 47,766.92, 65,901.30 and 32,837 is: 45,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,766.92 : 65,901.30 = 32,837 : x
  2. Step 2: Convert to fraction form
    47,766.92/65,901.30 = 32,837/x
  3. Step 3: Cross multiply
    47,766.92x = 65,901.30 × 32,837
  4. Step 4: Simplify right side
    47,766.92x = 2,164,000,988.10
  5. Step 5: Solve for x
    x = 2,164,000,988.10/47,766.92
  6. Step 6: Final answer
    x = 45,303.34

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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.