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Finding the Fourth Proportional to 36,235.24, 49,936.92 and 28,264.84

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Solution

The fourth proportional to 36,235.24, 49,936.92 and 28,264.84 is: 38,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,235.24 : 49,936.92 = 28,264.84 : x
  2. Step 2: Convert to fraction form
    36,235.24/49,936.92 = 28,264.84/x
  3. Step 3: Cross multiply
    36,235.24x = 49,936.92 × 28,264.84
  4. Step 4: Simplify right side
    36,235.24x = 1,411,459,053.89
  5. Step 5: Solve for x
    x = 1,411,459,053.89/36,235.24
  6. Step 6: Final answer
    x = 38,952.66

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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.