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Finding the Fourth Proportional to 30,056.32, 41,472.96 and 19,446.40

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Solution

The fourth proportional to 30,056.32, 41,472.96 and 19,446.40 is: 26,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056.32 : 41,472.96 = 19,446.40 : x
  2. Step 2: Convert to fraction form
    30,056.32/41,472.96 = 19,446.40/x
  3. Step 3: Cross multiply
    30,056.32x = 41,472.96 × 19,446.40
  4. Step 4: Simplify right side
    30,056.32x = 806,499,769.34
  5. Step 5: Solve for x
    x = 806,499,769.34/30,056.32
  6. Step 6: Final answer
    x = 26,832.95

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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.