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Finding the Fourth Proportional to 76,706.76, 115,077.44 and 23,403.48

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Solution

The fourth proportional to 76,706.76, 115,077.44 and 23,403.48 is: 35,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,706.76 : 115,077.44 = 23,403.48 : x
  2. Step 2: Convert to fraction form
    76,706.76/115,077.44 = 23,403.48/x
  3. Step 3: Cross multiply
    76,706.76x = 115,077.44 × 23,403.48
  4. Step 4: Simplify right side
    76,706.76x = 2,693,212,565.49
  5. Step 5: Solve for x
    x = 2,693,212,565.49/76,706.76
  6. Step 6: Final answer
    x = 35,110.50

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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.