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Finding the Fourth Proportional to 109,705.95, 164,460.42 and 39,568.86

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Solution

The fourth proportional to 109,705.95, 164,460.42 and 39,568.86 is: 59,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705.95 : 164,460.42 = 39,568.86 : x
  2. Step 2: Convert to fraction form
    109,705.95/164,460.42 = 39,568.86/x
  3. Step 3: Cross multiply
    109,705.95x = 164,460.42 × 39,568.86
  4. Step 4: Simplify right side
    109,705.95x = 6,507,511,334.52
  5. Step 5: Solve for x
    x = 6,507,511,334.52/109,705.95
  6. Step 6: Final answer
    x = 59,317.76

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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.