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Finding the Fourth Proportional to 106,348.50, 159,548.67 and 32,476.50

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Solution

The fourth proportional to 106,348.50, 159,548.67 and 32,476.50 is: 48,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,348.50 : 159,548.67 = 32,476.50 : x
  2. Step 2: Convert to fraction form
    106,348.50/159,548.67 = 32,476.50/x
  3. Step 3: Cross multiply
    106,348.50x = 159,548.67 × 32,476.50
  4. Step 4: Simplify right side
    106,348.50x = 5,181,582,381.26
  5. Step 5: Solve for x
    x = 5,181,582,381.26/106,348.50
  6. Step 6: Final answer
    x = 48,722.67

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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.