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Finding the Fourth Proportional to 31,134.96, 46,705.34 and 12,410.46

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Solution

The fourth proportional to 31,134.96, 46,705.34 and 12,410.46 is: 18,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.96 : 46,705.34 = 12,410.46 : x
  2. Step 2: Convert to fraction form
    31,134.96/46,705.34 = 12,410.46/x
  3. Step 3: Cross multiply
    31,134.96x = 46,705.34 × 12,410.46
  4. Step 4: Simplify right side
    31,134.96x = 579,634,753.86
  5. Step 5: Solve for x
    x = 579,634,753.86/31,134.96
  6. Step 6: Final answer
    x = 18,616.85

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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.