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Finding the Fourth Proportional to 35,205.66, 48,581.95 and 20,097.72

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Solution

The fourth proportional to 35,205.66, 48,581.95 and 20,097.72 is: 27,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,205.66 : 48,581.95 = 20,097.72 : x
  2. Step 2: Convert to fraction form
    35,205.66/48,581.95 = 20,097.72/x
  3. Step 3: Cross multiply
    35,205.66x = 48,581.95 × 20,097.72
  4. Step 4: Simplify right side
    35,205.66x = 976,386,428.15
  5. Step 5: Solve for x
    x = 976,386,428.15/35,205.66
  6. Step 6: Final answer
    x = 27,733.79

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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.