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Finding the Fourth Proportional to 32,109.88, 48,144.30 and 15,436.74

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Solution

The fourth proportional to 32,109.88, 48,144.30 and 15,436.74 is: 23,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.88 : 48,144.30 = 15,436.74 : x
  2. Step 2: Convert to fraction form
    32,109.88/48,144.30 = 15,436.74/x
  3. Step 3: Cross multiply
    32,109.88x = 48,144.30 × 15,436.74
  4. Step 4: Simplify right side
    32,109.88x = 743,191,041.58
  5. Step 5: Solve for x
    x = 743,191,041.58/32,109.88
  6. Step 6: Final answer
    x = 23,145.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.