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Finding the Fourth Proportional to 32,145.14, 44,353.13 and 19,400.40

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Solution

The fourth proportional to 32,145.14, 44,353.13 and 19,400.40 is: 26,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.14 : 44,353.13 = 19,400.40 : x
  2. Step 2: Convert to fraction form
    32,145.14/44,353.13 = 19,400.40/x
  3. Step 3: Cross multiply
    32,145.14x = 44,353.13 × 19,400.40
  4. Step 4: Simplify right side
    32,145.14x = 860,468,463.25
  5. Step 5: Solve for x
    x = 860,468,463.25/32,145.14
  6. Step 6: Final answer
    x = 26,768.23

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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.