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Finding the Fourth Proportional to 102,146.22, 153,219.33 and 32,031

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Solution

The fourth proportional to 102,146.22, 153,219.33 and 32,031 is: 48,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,146.22 : 153,219.33 = 32,031 : x
  2. Step 2: Convert to fraction form
    102,146.22/153,219.33 = 32,031/x
  3. Step 3: Cross multiply
    102,146.22x = 153,219.33 × 32,031
  4. Step 4: Simplify right side
    102,146.22x = 4,907,768,359.23
  5. Step 5: Solve for x
    x = 4,907,768,359.23/102,146.22
  6. Step 6: Final answer
    x = 48,046.50

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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.