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Finding the Fourth Proportional to 35,968.84, 49,636.50 and 20,053

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Solution

The fourth proportional to 35,968.84, 49,636.50 and 20,053 is: 27,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968.84 : 49,636.50 = 20,053 : x
  2. Step 2: Convert to fraction form
    35,968.84/49,636.50 = 20,053/x
  3. Step 3: Cross multiply
    35,968.84x = 49,636.50 × 20,053
  4. Step 4: Simplify right side
    35,968.84x = 995,360,734.50
  5. Step 5: Solve for x
    x = 995,360,734.50/35,968.84
  6. Step 6: Final answer
    x = 27,672.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.