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Finding the Fourth Proportional to 32,108.16, 48,150 and 12,868.20

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Solution

The fourth proportional to 32,108.16, 48,150 and 12,868.20 is: 19,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,108.16 : 48,150 = 12,868.20 : x
  2. Step 2: Convert to fraction form
    32,108.16/48,150 = 12,868.20/x
  3. Step 3: Cross multiply
    32,108.16x = 48,150 × 12,868.20
  4. Step 4: Simplify right side
    32,108.16x = 619,603,830
  5. Step 5: Solve for x
    x = 619,603,830/32,108.16
  6. Step 6: Final answer
    x = 19,297.39

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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.