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Finding the Fourth Proportional to 70,209.67, 105,314.51 and 23,462.55

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Solution

The fourth proportional to 70,209.67, 105,314.51 and 23,462.55 is: 35,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209.67 : 105,314.51 = 23,462.55 : x
  2. Step 2: Convert to fraction form
    70,209.67/105,314.51 = 23,462.55/x
  3. Step 3: Cross multiply
    70,209.67x = 105,314.51 × 23,462.55
  4. Step 4: Simplify right side
    70,209.67x = 2,470,946,583.50
  5. Step 5: Solve for x
    x = 2,470,946,583.50/70,209.67
  6. Step 6: Final answer
    x = 35,193.82

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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.