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Finding the Fourth Proportional to 106,540.68, 159,848.28 and 47,370.72

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Solution

The fourth proportional to 106,540.68, 159,848.28 and 47,370.72 is: 71,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.68 : 159,848.28 = 47,370.72 : x
  2. Step 2: Convert to fraction form
    106,540.68/159,848.28 = 47,370.72/x
  3. Step 3: Cross multiply
    106,540.68x = 159,848.28 × 47,370.72
  4. Step 4: Simplify right side
    106,540.68x = 7,572,128,114.36
  5. Step 5: Solve for x
    x = 7,572,128,114.36/106,540.68
  6. Step 6: Final answer
    x = 71,072.65

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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.