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Finding the Fourth Proportional to 50,614.92, 69,845.53 and 30,478.32

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Solution

The fourth proportional to 50,614.92, 69,845.53 and 30,478.32 is: 42,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,614.92 : 69,845.53 = 30,478.32 : x
  2. Step 2: Convert to fraction form
    50,614.92/69,845.53 = 30,478.32/x
  3. Step 3: Cross multiply
    50,614.92x = 69,845.53 × 30,478.32
  4. Step 4: Simplify right side
    50,614.92x = 2,128,774,588.52
  5. Step 5: Solve for x
    x = 2,128,774,588.52/50,614.92
  6. Step 6: Final answer
    x = 42,058.24

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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.