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Finding the Fourth Proportional to 32,594.58, 44,981.82 and 20,023.38

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Solution

The fourth proportional to 32,594.58, 44,981.82 and 20,023.38 is: 27,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.58 : 44,981.82 = 20,023.38 : x
  2. Step 2: Convert to fraction form
    32,594.58/44,981.82 = 20,023.38/x
  3. Step 3: Cross multiply
    32,594.58x = 44,981.82 × 20,023.38
  4. Step 4: Simplify right side
    32,594.58x = 900,688,074.95
  5. Step 5: Solve for x
    x = 900,688,074.95/32,594.58
  6. Step 6: Final answer
    x = 27,633.06

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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.