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Finding the Fourth Proportional to 32,874.90, 49,315.02 and 14,155.44

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Solution

The fourth proportional to 32,874.90, 49,315.02 and 14,155.44 is: 21,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.90 : 49,315.02 = 14,155.44 : x
  2. Step 2: Convert to fraction form
    32,874.90/49,315.02 = 14,155.44/x
  3. Step 3: Cross multiply
    32,874.90x = 49,315.02 × 14,155.44
  4. Step 4: Simplify right side
    32,874.90x = 698,075,806.71
  5. Step 5: Solve for x
    x = 698,075,806.71/32,874.90
  6. Step 6: Final answer
    x = 21,234.31

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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.