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Finding the Fourth Proportional to 35,734.64, 49,316.02 and 19,819.08

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Solution

The fourth proportional to 35,734.64, 49,316.02 and 19,819.08 is: 27,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.64 : 49,316.02 = 19,819.08 : x
  2. Step 2: Convert to fraction form
    35,734.64/49,316.02 = 19,819.08/x
  3. Step 3: Cross multiply
    35,734.64x = 49,316.02 × 19,819.08
  4. Step 4: Simplify right side
    35,734.64x = 977,398,096.11
  5. Step 5: Solve for x
    x = 977,398,096.11/35,734.64
  6. Step 6: Final answer
    x = 27,351.56

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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.