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Finding the Fourth Proportional to 30,199.64, 45,289.22 and 11,475.16

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Solution

The fourth proportional to 30,199.64, 45,289.22 and 11,475.16 is: 17,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.64 : 45,289.22 = 11,475.16 : x
  2. Step 2: Convert to fraction form
    30,199.64/45,289.22 = 11,475.16/x
  3. Step 3: Cross multiply
    30,199.64x = 45,289.22 × 11,475.16
  4. Step 4: Simplify right side
    30,199.64x = 519,701,045.78
  5. Step 5: Solve for x
    x = 519,701,045.78/30,199.64
  6. Step 6: Final answer
    x = 17,208.85

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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.