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Finding the Fourth Proportional to 109,667.97, 164,566.52 and 46,483.49

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Solution

The fourth proportional to 109,667.97, 164,566.52 and 46,483.49 is: 69,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,667.97 : 164,566.52 = 46,483.49 : x
  2. Step 2: Convert to fraction form
    109,667.97/164,566.52 = 46,483.49/x
  3. Step 3: Cross multiply
    109,667.97x = 164,566.52 × 46,483.49
  4. Step 4: Simplify right side
    109,667.97x = 7,649,625,131.50
  5. Step 5: Solve for x
    x = 7,649,625,131.50/109,667.97
  6. Step 6: Final answer
    x = 69,752.59

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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.