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Finding the Fourth Proportional to 50,035.32, 75,061.17 and 20,445.21

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Solution

The fourth proportional to 50,035.32, 75,061.17 and 20,445.21 is: 30,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,035.32 : 75,061.17 = 20,445.21 : x
  2. Step 2: Convert to fraction form
    50,035.32/75,061.17 = 20,445.21/x
  3. Step 3: Cross multiply
    50,035.32x = 75,061.17 × 20,445.21
  4. Step 4: Simplify right side
    50,035.32x = 1,534,641,383.50
  5. Step 5: Solve for x
    x = 1,534,641,383.50/50,035.32
  6. Step 6: Final answer
    x = 30,671.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.