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Finding the Fourth Proportional to 102,142.44, 153,200.70 and 32,020.20

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Solution

The fourth proportional to 102,142.44, 153,200.70 and 32,020.20 is: 48,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.44 : 153,200.70 = 32,020.20 : x
  2. Step 2: Convert to fraction form
    102,142.44/153,200.70 = 32,020.20/x
  3. Step 3: Cross multiply
    102,142.44x = 153,200.70 × 32,020.20
  4. Step 4: Simplify right side
    102,142.44x = 4,905,517,054.14
  5. Step 5: Solve for x
    x = 4,905,517,054.14/102,142.44
  6. Step 6: Final answer
    x = 48,026.24

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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.