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Finding the Fourth Proportional to 35,677.80, 49,227.78 and 21,530.40

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Solution

The fourth proportional to 35,677.80, 49,227.78 and 21,530.40 is: 29,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677.80 : 49,227.78 = 21,530.40 : x
  2. Step 2: Convert to fraction form
    35,677.80/49,227.78 = 21,530.40/x
  3. Step 3: Cross multiply
    35,677.80x = 49,227.78 × 21,530.40
  4. Step 4: Simplify right side
    35,677.80x = 1,059,893,794.51
  5. Step 5: Solve for x
    x = 1,059,893,794.51/35,677.80
  6. Step 6: Final answer
    x = 29,707.38

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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.