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Finding the Fourth Proportional to 30,872.02, 46,308.16 and 7,498.46

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Solution

The fourth proportional to 30,872.02, 46,308.16 and 7,498.46 is: 11,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.02 : 46,308.16 = 7,498.46 : x
  2. Step 2: Convert to fraction form
    30,872.02/46,308.16 = 7,498.46/x
  3. Step 3: Cross multiply
    30,872.02x = 46,308.16 × 7,498.46
  4. Step 4: Simplify right side
    30,872.02x = 347,239,885.43
  5. Step 5: Solve for x
    x = 347,239,885.43/30,872.02
  6. Step 6: Final answer
    x = 11,247.72

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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.