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Finding the Fourth Proportional to 107,971.50, 161,966.97 and 29,083.98

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Solution

The fourth proportional to 107,971.50, 161,966.97 and 29,083.98 is: 43,628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,971.50 : 161,966.97 = 29,083.98 : x
  2. Step 2: Convert to fraction form
    107,971.50/161,966.97 = 29,083.98/x
  3. Step 3: Cross multiply
    107,971.50x = 161,966.97 × 29,083.98
  4. Step 4: Simplify right side
    107,971.50x = 4,710,643,970.72
  5. Step 5: Solve for x
    x = 4,710,643,970.72/107,971.50
  6. Step 6: Final answer
    x = 43,628.59

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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.