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Finding the Fourth Proportional to 169,758.48, 254,577.48 and 49,782

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Solution

The fourth proportional to 169,758.48, 254,577.48 and 49,782 is: 74,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,758.48 : 254,577.48 = 49,782 : x
  2. Step 2: Convert to fraction form
    169,758.48/254,577.48 = 49,782/x
  3. Step 3: Cross multiply
    169,758.48x = 254,577.48 × 49,782
  4. Step 4: Simplify right side
    169,758.48x = 12,673,376,109.36
  5. Step 5: Solve for x
    x = 12,673,376,109.36/169,758.48
  6. Step 6: Final answer
    x = 74,655.33

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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.