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Finding the Fourth Proportional to 102,143.90, 153,215.83 and 32,028.86

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Solution

The fourth proportional to 102,143.90, 153,215.83 and 32,028.86 is: 48,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143.90 : 153,215.83 = 32,028.86 : x
  2. Step 2: Convert to fraction form
    102,143.90/153,215.83 = 32,028.86/x
  3. Step 3: Cross multiply
    102,143.90x = 153,215.83 × 32,028.86
  4. Step 4: Simplify right side
    102,143.90x = 4,907,328,368.85
  5. Step 5: Solve for x
    x = 4,907,328,368.85/102,143.90
  6. Step 6: Final answer
    x = 48,043.28

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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.