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Finding the Fourth Proportional to 35,189.68, 48,562.16 and 20,084.38

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Solution

The fourth proportional to 35,189.68, 48,562.16 and 20,084.38 is: 27,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,189.68 : 48,562.16 = 20,084.38 : x
  2. Step 2: Convert to fraction form
    35,189.68/48,562.16 = 20,084.38/x
  3. Step 3: Cross multiply
    35,189.68x = 48,562.16 × 20,084.38
  4. Step 4: Simplify right side
    35,189.68x = 975,340,875.06
  5. Step 5: Solve for x
    x = 975,340,875.06/35,189.68
  6. Step 6: Final answer
    x = 27,716.67

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Why These Related Problems?

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