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Finding the Fourth Proportional to 106,247.60, 159,297.60 and 47,051

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Solution

The fourth proportional to 106,247.60, 159,297.60 and 47,051 is: 70,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,247.60 : 159,297.60 = 47,051 : x
  2. Step 2: Convert to fraction form
    106,247.60/159,297.60 = 47,051/x
  3. Step 3: Cross multiply
    106,247.60x = 159,297.60 × 47,051
  4. Step 4: Simplify right side
    106,247.60x = 7,495,111,377.60
  5. Step 5: Solve for x
    x = 7,495,111,377.60/106,247.60
  6. Step 6: Final answer
    x = 70,543.82

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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.