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Finding the Fourth Proportional to 105,972, 158,958.36 and 32,100

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Solution

The fourth proportional to 105,972, 158,958.36 and 32,100 is: 48,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,972 : 158,958.36 = 32,100 : x
  2. Step 2: Convert to fraction form
    105,972/158,958.36 = 32,100/x
  3. Step 3: Cross multiply
    105,972x = 158,958.36 × 32,100
  4. Step 4: Simplify right side
    105,972x = 5,102,563,356
  5. Step 5: Solve for x
    x = 5,102,563,356/105,972
  6. Step 6: Final answer
    x = 48,150.11

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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.