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Finding the Fourth Proportional to 46,992.21, 70,352.92 and 31,213

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Solution

The fourth proportional to 46,992.21, 70,352.92 and 31,213 is: 46,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992.21 : 70,352.92 = 31,213 : x
  2. Step 2: Convert to fraction form
    46,992.21/70,352.92 = 31,213/x
  3. Step 3: Cross multiply
    46,992.21x = 70,352.92 × 31,213
  4. Step 4: Simplify right side
    46,992.21x = 2,195,925,691.96
  5. Step 5: Solve for x
    x = 2,195,925,691.96/46,992.21
  6. Step 6: Final answer
    x = 46,729.57

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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.