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Finding the Fourth Proportional to 70,209.61, 105,314.41 and 23,462.48

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Solution

The fourth proportional to 70,209.61, 105,314.41 and 23,462.48 is: 35,193.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209.61 : 105,314.41 = 23,462.48 : x
  2. Step 2: Convert to fraction form
    70,209.61/105,314.41 = 23,462.48/x
  3. Step 3: Cross multiply
    70,209.61x = 105,314.41 × 23,462.48
  4. Step 4: Simplify right side
    70,209.61x = 2,470,937,801.74
  5. Step 5: Solve for x
    x = 2,470,937,801.74/70,209.61
  6. Step 6: Final answer
    x = 35,193.73

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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.