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Finding the Fourth Proportional to 109,847.95, 164,796.65 and 38,775.65

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Solution

The fourth proportional to 109,847.95, 164,796.65 and 38,775.65 is: 58,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,847.95 : 164,796.65 = 38,775.65 : x
  2. Step 2: Convert to fraction form
    109,847.95/164,796.65 = 38,775.65/x
  3. Step 3: Cross multiply
    109,847.95x = 164,796.65 × 38,775.65
  4. Step 4: Simplify right side
    109,847.95x = 6,390,096,349.12
  5. Step 5: Solve for x
    x = 6,390,096,349.12/109,847.95
  6. Step 6: Final answer
    x = 58,172.20

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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.