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Finding the Fourth Proportional to 43,181.60, 64,774 and 15,096.16

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Solution

The fourth proportional to 43,181.60, 64,774 and 15,096.16 is: 22,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,181.60 : 64,774 = 15,096.16 : x
  2. Step 2: Convert to fraction form
    43,181.60/64,774 = 15,096.16/x
  3. Step 3: Cross multiply
    43,181.60x = 64,774 × 15,096.16
  4. Step 4: Simplify right side
    43,181.60x = 977,838,667.84
  5. Step 5: Solve for x
    x = 977,838,667.84/43,181.60
  6. Step 6: Final answer
    x = 22,644.80

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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.