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Finding the Fourth Proportional to 76,772.80, 115,232.10 and 47,248.30

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Solution

The fourth proportional to 76,772.80, 115,232.10 and 47,248.30 is: 70,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,772.80 : 115,232.10 = 47,248.30 : x
  2. Step 2: Convert to fraction form
    76,772.80/115,232.10 = 47,248.30/x
  3. Step 3: Cross multiply
    76,772.80x = 115,232.10 × 47,248.30
  4. Step 4: Simplify right side
    76,772.80x = 5,444,520,830.43
  5. Step 5: Solve for x
    x = 5,444,520,830.43/76,772.80
  6. Step 6: Final answer
    x = 70,917.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.