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Finding the Fourth Proportional to 51,900.66, 77,900.22 and 32,119.38

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Solution

The fourth proportional to 51,900.66, 77,900.22 and 32,119.38 is: 48,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900.66 : 77,900.22 = 32,119.38 : x
  2. Step 2: Convert to fraction form
    51,900.66/77,900.22 = 32,119.38/x
  3. Step 3: Cross multiply
    51,900.66x = 77,900.22 × 32,119.38
  4. Step 4: Simplify right side
    51,900.66x = 2,502,106,768.26
  5. Step 5: Solve for x
    x = 2,502,106,768.26/51,900.66
  6. Step 6: Final answer
    x = 48,209.54

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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.