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Finding the Fourth Proportional to 92,307, 138,473.87 and 29,105.67

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Solution

The fourth proportional to 92,307, 138,473.87 and 29,105.67 is: 43,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,307 : 138,473.87 = 29,105.67 : x
  2. Step 2: Convert to fraction form
    92,307/138,473.87 = 29,105.67/x
  3. Step 3: Cross multiply
    92,307x = 138,473.87 × 29,105.67
  4. Step 4: Simplify right side
    92,307x = 4,030,374,618.31
  5. Step 5: Solve for x
    x = 4,030,374,618.31/92,307
  6. Step 6: Final answer
    x = 43,662.72

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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.