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Finding the Fourth Proportional to 34,566.30, 47,689.02 and 22,636.44

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Solution

The fourth proportional to 34,566.30, 47,689.02 and 22,636.44 is: 31,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,566.30 : 47,689.02 = 22,636.44 : x
  2. Step 2: Convert to fraction form
    34,566.30/47,689.02 = 22,636.44/x
  3. Step 3: Cross multiply
    34,566.30x = 47,689.02 × 22,636.44
  4. Step 4: Simplify right side
    34,566.30x = 1,079,509,639.89
  5. Step 5: Solve for x
    x = 1,079,509,639.89/34,566.30
  6. Step 6: Final answer
    x = 31,230.12

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Why These Related Problems?

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