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Finding the Fourth Proportional to 32,354.16, 44,595 and 22,265.52

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Solution

The fourth proportional to 32,354.16, 44,595 and 22,265.52 is: 30,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354.16 : 44,595 = 22,265.52 : x
  2. Step 2: Convert to fraction form
    32,354.16/44,595 = 22,265.52/x
  3. Step 3: Cross multiply
    32,354.16x = 44,595 × 22,265.52
  4. Step 4: Simplify right side
    32,354.16x = 992,930,864.40
  5. Step 5: Solve for x
    x = 992,930,864.40/32,354.16
  6. Step 6: Final answer
    x = 30,689.43

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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.