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Finding the Fourth Proportional to 77,104.37, 115,640.53 and 29,703.17

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Solution

The fourth proportional to 77,104.37, 115,640.53 and 29,703.17 is: 44,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,104.37 : 115,640.53 = 29,703.17 : x
  2. Step 2: Convert to fraction form
    77,104.37/115,640.53 = 29,703.17/x
  3. Step 3: Cross multiply
    77,104.37x = 115,640.53 × 29,703.17
  4. Step 4: Simplify right side
    77,104.37x = 3,434,890,536.32
  5. Step 5: Solve for x
    x = 3,434,890,536.32/77,104.37
  6. Step 6: Final answer
    x = 44,548.58

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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.