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Finding the Fourth Proportional to 32,396.36, 44,689.93 and 22,307.30

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Solution

The fourth proportional to 32,396.36, 44,689.93 and 22,307.30 is: 30,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396.36 : 44,689.93 = 22,307.30 : x
  2. Step 2: Convert to fraction form
    32,396.36/44,689.93 = 22,307.30/x
  3. Step 3: Cross multiply
    32,396.36x = 44,689.93 × 22,307.30
  4. Step 4: Simplify right side
    32,396.36x = 996,911,563.86
  5. Step 5: Solve for x
    x = 996,911,563.86/32,396.36
  6. Step 6: Final answer
    x = 30,772.34

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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.