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Finding the Fourth Proportional to 31,130.96, 46,699.34 and 12,406.46

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Solution

The fourth proportional to 31,130.96, 46,699.34 and 12,406.46 is: 18,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.96 : 46,699.34 = 12,406.46 : x
  2. Step 2: Convert to fraction form
    31,130.96/46,699.34 = 12,406.46/x
  3. Step 3: Cross multiply
    31,130.96x = 46,699.34 × 12,406.46
  4. Step 4: Simplify right side
    31,130.96x = 579,373,198.21
  5. Step 5: Solve for x
    x = 579,373,198.21/31,130.96
  6. Step 6: Final answer
    x = 18,610.84

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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.