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Finding the Fourth Proportional to 102,763.12, 154,144.20 and 32,647.90

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Solution

The fourth proportional to 102,763.12, 154,144.20 and 32,647.90 is: 48,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,763.12 : 154,144.20 = 32,647.90 : x
  2. Step 2: Convert to fraction form
    102,763.12/154,144.20 = 32,647.90/x
  3. Step 3: Cross multiply
    102,763.12x = 154,144.20 × 32,647.90
  4. Step 4: Simplify right side
    102,763.12x = 5,032,484,427.18
  5. Step 5: Solve for x
    x = 5,032,484,427.18/102,763.12
  6. Step 6: Final answer
    x = 48,971.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.