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Finding the Fourth Proportional to 32,774.10, 49,155.75 and 14,057.16

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Solution

The fourth proportional to 32,774.10, 49,155.75 and 14,057.16 is: 21,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.10 : 49,155.75 = 14,057.16 : x
  2. Step 2: Convert to fraction form
    32,774.10/49,155.75 = 14,057.16/x
  3. Step 3: Cross multiply
    32,774.10x = 49,155.75 × 14,057.16
  4. Step 4: Simplify right side
    32,774.10x = 690,990,242.67
  5. Step 5: Solve for x
    x = 690,990,242.67/32,774.10
  6. Step 6: Final answer
    x = 21,083.42

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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.