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Finding the Fourth Proportional to 32,155.96, 48,174 and 18,969.16

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Solution

The fourth proportional to 32,155.96, 48,174 and 18,969.16 is: 28,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.96 : 48,174 = 18,969.16 : x
  2. Step 2: Convert to fraction form
    32,155.96/48,174 = 18,969.16/x
  3. Step 3: Cross multiply
    32,155.96x = 48,174 × 18,969.16
  4. Step 4: Simplify right side
    32,155.96x = 913,820,313.84
  5. Step 5: Solve for x
    x = 913,820,313.84/32,155.96
  6. Step 6: Final answer
    x = 28,418.38

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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.