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Finding the Fourth Proportional to 31,023.66, 46,534.65 and 7,650.30

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Solution

The fourth proportional to 31,023.66, 46,534.65 and 7,650.30 is: 11,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.66 : 46,534.65 = 7,650.30 : x
  2. Step 2: Convert to fraction form
    31,023.66/46,534.65 = 7,650.30/x
  3. Step 3: Cross multiply
    31,023.66x = 46,534.65 × 7,650.30
  4. Step 4: Simplify right side
    31,023.66x = 356,004,032.90
  5. Step 5: Solve for x
    x = 356,004,032.90/31,023.66
  6. Step 6: Final answer
    x = 11,475.24

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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.