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Finding the Fourth Proportional to 109,892.88, 164,847.51 and 46,705.95

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Solution

The fourth proportional to 109,892.88, 164,847.51 and 46,705.95 is: 70,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.88 : 164,847.51 = 46,705.95 : x
  2. Step 2: Convert to fraction form
    109,892.88/164,847.51 = 46,705.95/x
  3. Step 3: Cross multiply
    109,892.88x = 164,847.51 × 46,705.95
  4. Step 4: Simplify right side
    109,892.88x = 7,699,359,559.68
  5. Step 5: Solve for x
    x = 7,699,359,559.68/109,892.88
  6. Step 6: Final answer
    x = 70,062.41

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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.