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Finding the Fourth Proportional to 30,101.76, 41,499.36 and 20,030.64

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Solution

The fourth proportional to 30,101.76, 41,499.36 and 20,030.64 is: 27,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.76 : 41,499.36 = 20,030.64 : x
  2. Step 2: Convert to fraction form
    30,101.76/41,499.36 = 20,030.64/x
  3. Step 3: Cross multiply
    30,101.76x = 41,499.36 × 20,030.64
  4. Step 4: Simplify right side
    30,101.76x = 831,258,740.39
  5. Step 5: Solve for x
    x = 831,258,740.39/30,101.76
  6. Step 6: Final answer
    x = 27,614.95

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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.