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Finding the Fourth Proportional to 30,201.24, 45,301.86 and 8,015.53

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Solution

The fourth proportional to 30,201.24, 45,301.86 and 8,015.53 is: 12,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.24 : 45,301.86 = 8,015.53 : x
  2. Step 2: Convert to fraction form
    30,201.24/45,301.86 = 8,015.53/x
  3. Step 3: Cross multiply
    30,201.24x = 45,301.86 × 8,015.53
  4. Step 4: Simplify right side
    30,201.24x = 363,118,417.89
  5. Step 5: Solve for x
    x = 363,118,417.89/30,201.24
  6. Step 6: Final answer
    x = 12,023.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.