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Finding the Fourth Proportional to 34,128.96, 47,096.16 and 19,224

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Solution

The fourth proportional to 34,128.96, 47,096.16 and 19,224 is: 26,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,128.96 : 47,096.16 = 19,224 : x
  2. Step 2: Convert to fraction form
    34,128.96/47,096.16 = 19,224/x
  3. Step 3: Cross multiply
    34,128.96x = 47,096.16 × 19,224
  4. Step 4: Simplify right side
    34,128.96x = 905,376,579.84
  5. Step 5: Solve for x
    x = 905,376,579.84/34,128.96
  6. Step 6: Final answer
    x = 26,528.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.