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Finding the Fourth Proportional to 106,002.06, 159,076 and 43,672.56

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Solution

The fourth proportional to 106,002.06, 159,076 and 43,672.56 is: 65,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002.06 : 159,076 = 43,672.56 : x
  2. Step 2: Convert to fraction form
    106,002.06/159,076 = 43,672.56/x
  3. Step 3: Cross multiply
    106,002.06x = 159,076 × 43,672.56
  4. Step 4: Simplify right side
    106,002.06x = 6,947,256,154.56
  5. Step 5: Solve for x
    x = 6,947,256,154.56/106,002.06
  6. Step 6: Final answer
    x = 65,538.88

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1.5x scale

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.