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Finding the Fourth Proportional to 49,821, 68,752.98 and 27,465.48

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Solution

The fourth proportional to 49,821, 68,752.98 and 27,465.48 is: 37,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,821 : 68,752.98 = 27,465.48 : x
  2. Step 2: Convert to fraction form
    49,821/68,752.98 = 27,465.48/x
  3. Step 3: Cross multiply
    49,821x = 68,752.98 × 27,465.48
  4. Step 4: Simplify right side
    49,821x = 1,888,333,597.13
  5. Step 5: Solve for x
    x = 1,888,333,597.13/49,821
  6. Step 6: Final answer
    x = 37,902.36

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1.5x scale

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.