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Finding the Fourth Proportional to 30,955.96, 46,437.18 and 10,181.08

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Solution

The fourth proportional to 30,955.96, 46,437.18 and 10,181.08 is: 15,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,955.96 : 46,437.18 = 10,181.08 : x
  2. Step 2: Convert to fraction form
    30,955.96/46,437.18 = 10,181.08/x
  3. Step 3: Cross multiply
    30,955.96x = 46,437.18 × 10,181.08
  4. Step 4: Simplify right side
    30,955.96x = 472,780,644.55
  5. Step 5: Solve for x
    x = 472,780,644.55/30,955.96
  6. Step 6: Final answer
    x = 15,272.69

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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.