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Finding the Fourth Proportional to 31,022.66, 46,533.15 and 7,649.30

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Solution

The fourth proportional to 31,022.66, 46,533.15 and 7,649.30 is: 11,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,022.66 : 46,533.15 = 7,649.30 : x
  2. Step 2: Convert to fraction form
    31,022.66/46,533.15 = 7,649.30/x
  3. Step 3: Cross multiply
    31,022.66x = 46,533.15 × 7,649.30
  4. Step 4: Simplify right side
    31,022.66x = 355,946,024.30
  5. Step 5: Solve for x
    x = 355,946,024.30/31,022.66
  6. Step 6: Final answer
    x = 11,473.74

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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.