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Finding the Fourth Proportional to 108,010.84, 162,047.40 and 33,142

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Solution

The fourth proportional to 108,010.84, 162,047.40 and 33,142 is: 49,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,010.84 : 162,047.40 = 33,142 : x
  2. Step 2: Convert to fraction form
    108,010.84/162,047.40 = 33,142/x
  3. Step 3: Cross multiply
    108,010.84x = 162,047.40 × 33,142
  4. Step 4: Simplify right side
    108,010.84x = 5,370,574,930.80
  5. Step 5: Solve for x
    x = 5,370,574,930.80/108,010.84
  6. Step 6: Final answer
    x = 49,722.55

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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.