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Finding the Fourth Proportional to 77,305.20, 115,864.20 and 32,838.60

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Solution

The fourth proportional to 77,305.20, 115,864.20 and 32,838.60 is: 49,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,305.20 : 115,864.20 = 32,838.60 : x
  2. Step 2: Convert to fraction form
    77,305.20/115,864.20 = 32,838.60/x
  3. Step 3: Cross multiply
    77,305.20x = 115,864.20 × 32,838.60
  4. Step 4: Simplify right side
    77,305.20x = 3,804,818,118.12
  5. Step 5: Solve for x
    x = 3,804,818,118.12/77,305.20
  6. Step 6: Final answer
    x = 49,218.14

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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.