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Finding the Fourth Proportional to 32,151.40, 44,361.74 and 19,406.66

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Solution

The fourth proportional to 32,151.40, 44,361.74 and 19,406.66 is: 26,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.40 : 44,361.74 = 19,406.66 : x
  2. Step 2: Convert to fraction form
    32,151.40/44,361.74 = 19,406.66/x
  3. Step 3: Cross multiply
    32,151.40x = 44,361.74 × 19,406.66
  4. Step 4: Simplify right side
    32,151.40x = 860,913,205.19
  5. Step 5: Solve for x
    x = 860,913,205.19/32,151.40
  6. Step 6: Final answer
    x = 26,776.85

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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.