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Finding the Fourth Proportional to 36,143.34, 49,871.25 and 20,827.50

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Solution

The fourth proportional to 36,143.34, 49,871.25 and 20,827.50 is: 28,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.34 : 49,871.25 = 20,827.50 : x
  2. Step 2: Convert to fraction form
    36,143.34/49,871.25 = 20,827.50/x
  3. Step 3: Cross multiply
    36,143.34x = 49,871.25 × 20,827.50
  4. Step 4: Simplify right side
    36,143.34x = 1,038,693,459.38
  5. Step 5: Solve for x
    x = 1,038,693,459.38/36,143.34
  6. Step 6: Final answer
    x = 28,738.17

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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.