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Finding the Fourth Proportional to 34,941.24, 52,411.22 and 8,645.98

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Solution

The fourth proportional to 34,941.24, 52,411.22 and 8,645.98 is: 12,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,941.24 : 52,411.22 = 8,645.98 : x
  2. Step 2: Convert to fraction form
    34,941.24/52,411.22 = 8,645.98/x
  3. Step 3: Cross multiply
    34,941.24x = 52,411.22 × 8,645.98
  4. Step 4: Simplify right side
    34,941.24x = 453,146,359.90
  5. Step 5: Solve for x
    x = 453,146,359.90/34,941.24
  6. Step 6: Final answer
    x = 12,968.81

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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.