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Finding the Fourth Proportional to 32,702.44, 45,143.07 and 22,106.43

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Solution

The fourth proportional to 32,702.44, 45,143.07 and 22,106.43 is: 30,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.44 : 45,143.07 = 22,106.43 : x
  2. Step 2: Convert to fraction form
    32,702.44/45,143.07 = 22,106.43/x
  3. Step 3: Cross multiply
    32,702.44x = 45,143.07 × 22,106.43
  4. Step 4: Simplify right side
    32,702.44x = 997,952,116.94
  5. Step 5: Solve for x
    x = 997,952,116.94/32,702.44
  6. Step 6: Final answer
    x = 30,516.14

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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.