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Finding the Fourth Proportional to 32,204.30, 44,442.38 and 19,455.71

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Solution

The fourth proportional to 32,204.30, 44,442.38 and 19,455.71 is: 26,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.30 : 44,442.38 = 19,455.71 : x
  2. Step 2: Convert to fraction form
    32,204.30/44,442.38 = 19,455.71/x
  3. Step 3: Cross multiply
    32,204.30x = 44,442.38 × 19,455.71
  4. Step 4: Simplify right side
    32,204.30x = 864,657,737.50
  5. Step 5: Solve for x
    x = 864,657,737.50/32,204.30
  6. Step 6: Final answer
    x = 26,849.14

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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.