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Finding the Fourth Proportional to 34,291.76, 47,297.18 and 24,209.69

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Solution

The fourth proportional to 34,291.76, 47,297.18 and 24,209.69 is: 33,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,291.76 : 47,297.18 = 24,209.69 : x
  2. Step 2: Convert to fraction form
    34,291.76/47,297.18 = 24,209.69/x
  3. Step 3: Cross multiply
    34,291.76x = 47,297.18 × 24,209.69
  4. Step 4: Simplify right side
    34,291.76x = 1,145,049,889.71
  5. Step 5: Solve for x
    x = 1,145,049,889.71/34,291.76
  6. Step 6: Final answer
    x = 33,391.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.