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Finding the Fourth Proportional to 31,096.15, 46,644.01 and 8,909.55

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Solution

The fourth proportional to 31,096.15, 46,644.01 and 8,909.55 is: 13,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.15 : 46,644.01 = 8,909.55 : x
  2. Step 2: Convert to fraction form
    31,096.15/46,644.01 = 8,909.55/x
  3. Step 3: Cross multiply
    31,096.15x = 46,644.01 × 8,909.55
  4. Step 4: Simplify right side
    31,096.15x = 415,577,117.02
  5. Step 5: Solve for x
    x = 415,577,117.02/31,096.15
  6. Step 6: Final answer
    x = 13,364.26

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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.