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Finding the Fourth Proportional to 70,625.47, 105,953.79 and 23,255.14

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Solution

The fourth proportional to 70,625.47, 105,953.79 and 23,255.14 is: 34,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,625.47 : 105,953.79 = 23,255.14 : x
  2. Step 2: Convert to fraction form
    70,625.47/105,953.79 = 23,255.14/x
  3. Step 3: Cross multiply
    70,625.47x = 105,953.79 × 23,255.14
  4. Step 4: Simplify right side
    70,625.47x = 2,463,970,219.98
  5. Step 5: Solve for x
    x = 2,463,970,219.98/70,625.47
  6. Step 6: Final answer
    x = 34,887.84

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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.