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Finding the Fourth Proportional to 36,101.50, 49,804.98 and 28,129.88

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Solution

The fourth proportional to 36,101.50, 49,804.98 and 28,129.88 is: 38,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,101.50 : 49,804.98 = 28,129.88 : x
  2. Step 2: Convert to fraction form
    36,101.50/49,804.98 = 28,129.88/x
  3. Step 3: Cross multiply
    36,101.50x = 49,804.98 × 28,129.88
  4. Step 4: Simplify right side
    36,101.50x = 1,401,008,129.83
  5. Step 5: Solve for x
    x = 1,401,008,129.83/36,101.50
  6. Step 6: Final answer
    x = 38,807.48

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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.