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Finding the Fourth Proportional to 31,096.16, 46,644 and 8,909.55

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Solution

The fourth proportional to 31,096.16, 46,644 and 8,909.55 is: 13,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.16 : 46,644 = 8,909.55 : x
  2. Step 2: Convert to fraction form
    31,096.16/46,644 = 8,909.55/x
  3. Step 3: Cross multiply
    31,096.16x = 46,644 × 8,909.55
  4. Step 4: Simplify right side
    31,096.16x = 415,577,050.20
  5. Step 5: Solve for x
    x = 415,577,050.20/31,096.16
  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.