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Finding the Fourth Proportional to 38,697.75, 58,050 and 10,995.75

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Solution

The fourth proportional to 38,697.75, 58,050 and 10,995.75 is: 16,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,697.75 : 58,050 = 10,995.75 : x
  2. Step 2: Convert to fraction form
    38,697.75/58,050 = 10,995.75/x
  3. Step 3: Cross multiply
    38,697.75x = 58,050 × 10,995.75
  4. Step 4: Simplify right side
    38,697.75x = 638,303,287.50
  5. Step 5: Solve for x
    x = 638,303,287.50/38,697.75
  6. Step 6: Final answer
    x = 16,494.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.