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Finding the Fourth Proportional to 32,145.16, 44,360.72 and 19,399

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Solution

The fourth proportional to 32,145.16, 44,360.72 and 19,399 is: 26,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.16 : 44,360.72 = 19,399 : x
  2. Step 2: Convert to fraction form
    32,145.16/44,360.72 = 19,399/x
  3. Step 3: Cross multiply
    32,145.16x = 44,360.72 × 19,399
  4. Step 4: Simplify right side
    32,145.16x = 860,553,607.28
  5. Step 5: Solve for x
    x = 860,553,607.28/32,145.16
  6. Step 6: Final answer
    x = 26,770.86

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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.