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Finding the Fourth Proportional to 32,734.17, 45,174.96 and 19,313.28

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Solution

The fourth proportional to 32,734.17, 45,174.96 and 19,313.28 is: 26,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,734.17 : 45,174.96 = 19,313.28 : x
  2. Step 2: Convert to fraction form
    32,734.17/45,174.96 = 19,313.28/x
  3. Step 3: Cross multiply
    32,734.17x = 45,174.96 × 19,313.28
  4. Step 4: Simplify right side
    32,734.17x = 872,476,651.47
  5. Step 5: Solve for x
    x = 872,476,651.47/32,734.17
  6. Step 6: Final answer
    x = 26,653.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.