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Finding the Fourth Proportional to 70,823.34, 106,235.02 and 23,425.72

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Solution

The fourth proportional to 70,823.34, 106,235.02 and 23,425.72 is: 35,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,823.34 : 106,235.02 = 23,425.72 : x
  2. Step 2: Convert to fraction form
    70,823.34/106,235.02 = 23,425.72/x
  3. Step 3: Cross multiply
    70,823.34x = 106,235.02 × 23,425.72
  4. Step 4: Simplify right side
    70,823.34x = 2,488,631,832.71
  5. Step 5: Solve for x
    x = 2,488,631,832.71/70,823.34
  6. Step 6: Final answer
    x = 35,138.58

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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.