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Finding the Fourth Proportional to 30,291.24, 45,435.02 and 11,312.24

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Solution

The fourth proportional to 30,291.24, 45,435.02 and 11,312.24 is: 16,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.24 : 45,435.02 = 11,312.24 : x
  2. Step 2: Convert to fraction form
    30,291.24/45,435.02 = 11,312.24/x
  3. Step 3: Cross multiply
    30,291.24x = 45,435.02 × 11,312.24
  4. Step 4: Simplify right side
    30,291.24x = 513,971,850.64
  5. Step 5: Solve for x
    x = 513,971,850.64/30,291.24
  6. Step 6: Final answer
    x = 16,967.67

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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.