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Finding the Fourth Proportional to 77,095.28, 115,659.93 and 32,759.93

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Solution

The fourth proportional to 77,095.28, 115,659.93 and 32,759.93 is: 49,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,095.28 : 115,659.93 = 32,759.93 : x
  2. Step 2: Convert to fraction form
    77,095.28/115,659.93 = 32,759.93/x
  3. Step 3: Cross multiply
    77,095.28x = 115,659.93 × 32,759.93
  4. Step 4: Simplify right side
    77,095.28x = 3,789,011,210.60
  5. Step 5: Solve for x
    x = 3,789,011,210.60/77,095.28
  6. Step 6: Final answer
    x = 49,147.12

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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.