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Finding the Fourth Proportional to 32,078.25, 44,267.99 and 19,503

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Solution

The fourth proportional to 32,078.25, 44,267.99 and 19,503 is: 26,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.25 : 44,267.99 = 19,503 : x
  2. Step 2: Convert to fraction form
    32,078.25/44,267.99 = 19,503/x
  3. Step 3: Cross multiply
    32,078.25x = 44,267.99 × 19,503
  4. Step 4: Simplify right side
    32,078.25x = 863,358,511.46
  5. Step 5: Solve for x
    x = 863,358,511.46/32,078.25
  6. Step 6: Final answer
    x = 26,914.14

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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.