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Finding the Fourth Proportional to 35,774.74, 49,346.31 and 28,218.61

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Solution

The fourth proportional to 35,774.74, 49,346.31 and 28,218.61 is: 38,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774.74 : 49,346.31 = 28,218.61 : x
  2. Step 2: Convert to fraction form
    35,774.74/49,346.31 = 28,218.61/x
  3. Step 3: Cross multiply
    35,774.74x = 49,346.31 × 28,218.61
  4. Step 4: Simplify right side
    35,774.74x = 1,392,484,276.83
  5. Step 5: Solve for x
    x = 1,392,484,276.83/35,774.74
  6. Step 6: Final answer
    x = 38,923.67

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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.