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Finding the Fourth Proportional to 32,191.50, 44,438.82 and 20,272.35

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Solution

The fourth proportional to 32,191.50, 44,438.82 and 20,272.35 is: 27,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.50 : 44,438.82 = 20,272.35 : x
  2. Step 2: Convert to fraction form
    32,191.50/44,438.82 = 20,272.35/x
  3. Step 3: Cross multiply
    32,191.50x = 44,438.82 × 20,272.35
  4. Step 4: Simplify right side
    32,191.50x = 900,879,312.63
  5. Step 5: Solve for x
    x = 900,879,312.63/32,191.50
  6. Step 6: Final answer
    x = 27,985.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.