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Finding the Fourth Proportional to 78,011.10, 116,998.50 and 21,855.15

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Solution

The fourth proportional to 78,011.10, 116,998.50 and 21,855.15 is: 32,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,011.10 : 116,998.50 = 21,855.15 : x
  2. Step 2: Convert to fraction form
    78,011.10/116,998.50 = 21,855.15/x
  3. Step 3: Cross multiply
    78,011.10x = 116,998.50 × 21,855.15
  4. Step 4: Simplify right side
    78,011.10x = 2,557,019,767.28
  5. Step 5: Solve for x
    x = 2,557,019,767.28/78,011.10
  6. Step 6: Final answer
    x = 32,777.64

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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.