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Finding the Fourth Proportional to 31,099.40, 46,649.15 and 9,461.06

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Solution

The fourth proportional to 31,099.40, 46,649.15 and 9,461.06 is: 14,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.40 : 46,649.15 = 9,461.06 : x
  2. Step 2: Convert to fraction form
    31,099.40/46,649.15 = 9,461.06/x
  3. Step 3: Cross multiply
    31,099.40x = 46,649.15 × 9,461.06
  4. Step 4: Simplify right side
    31,099.40x = 441,350,150.20
  5. Step 5: Solve for x
    x = 441,350,150.20/31,099.40
  6. Step 6: Final answer
    x = 14,191.60

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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.