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Finding the Fourth Proportional to 50,573.82, 75,864.39 and 19,409.07

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Solution

The fourth proportional to 50,573.82, 75,864.39 and 19,409.07 is: 29,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,573.82 : 75,864.39 = 19,409.07 : x
  2. Step 2: Convert to fraction form
    50,573.82/75,864.39 = 19,409.07/x
  3. Step 3: Cross multiply
    50,573.82x = 75,864.39 × 19,409.07
  4. Step 4: Simplify right side
    50,573.82x = 1,472,457,256.02
  5. Step 5: Solve for x
    x = 1,472,457,256.02/50,573.82
  6. Step 6: Final answer
    x = 29,115.01

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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.