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Finding the Fourth Proportional to 35,892.84, 49,550.08 and 27,808.46

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Solution

The fourth proportional to 35,892.84, 49,550.08 and 27,808.46 is: 38,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892.84 : 49,550.08 = 27,808.46 : x
  2. Step 2: Convert to fraction form
    35,892.84/49,550.08 = 27,808.46/x
  3. Step 3: Cross multiply
    35,892.84x = 49,550.08 × 27,808.46
  4. Step 4: Simplify right side
    35,892.84x = 1,377,911,417.68
  5. Step 5: Solve for x
    x = 1,377,911,417.68/35,892.84
  6. Step 6: Final answer
    x = 38,389.59

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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.