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Finding the Fourth Proportional to 47,419.20, 65,440.80 and 26,200.80

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Solution

The fourth proportional to 47,419.20, 65,440.80 and 26,200.80 is: 36,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,419.20 : 65,440.80 = 26,200.80 : x
  2. Step 2: Convert to fraction form
    47,419.20/65,440.80 = 26,200.80/x
  3. Step 3: Cross multiply
    47,419.20x = 65,440.80 × 26,200.80
  4. Step 4: Simplify right side
    47,419.20x = 1,714,601,312.64
  5. Step 5: Solve for x
    x = 1,714,601,312.64/47,419.20
  6. Step 6: Final answer
    x = 36,158.38

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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.