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Finding the Fourth Proportional to 109,543.19, 164,339.48 and 34,667.80

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Solution

The fourth proportional to 109,543.19, 164,339.48 and 34,667.80 is: 52,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,543.19 : 164,339.48 = 34,667.80 : x
  2. Step 2: Convert to fraction form
    109,543.19/164,339.48 = 34,667.80/x
  3. Step 3: Cross multiply
    109,543.19x = 164,339.48 × 34,667.80
  4. Step 4: Simplify right side
    109,543.19x = 5,697,287,900.56
  5. Step 5: Solve for x
    x = 5,697,287,900.56/109,543.19
  6. Step 6: Final answer
    x = 52,009.51

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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.