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Finding the Fourth Proportional to 102,143.40, 153,215.08 and 32,028.36

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Solution

The fourth proportional to 102,143.40, 153,215.08 and 32,028.36 is: 48,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143.40 : 153,215.08 = 32,028.36 : x
  2. Step 2: Convert to fraction form
    102,143.40/153,215.08 = 32,028.36/x
  3. Step 3: Cross multiply
    102,143.40x = 153,215.08 × 32,028.36
  4. Step 4: Simplify right side
    102,143.40x = 4,907,227,739.67
  5. Step 5: Solve for x
    x = 4,907,227,739.67/102,143.40
  6. Step 6: Final answer
    x = 48,042.53

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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.