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Finding the Fourth Proportional to 106,334.80, 159,464.40 and 47,064.40

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Solution

The fourth proportional to 106,334.80, 159,464.40 and 47,064.40 is: 70,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,334.80 : 159,464.40 = 47,064.40 : x
  2. Step 2: Convert to fraction form
    106,334.80/159,464.40 = 47,064.40/x
  3. Step 3: Cross multiply
    106,334.80x = 159,464.40 × 47,064.40
  4. Step 4: Simplify right side
    106,334.80x = 7,505,096,307.36
  5. Step 5: Solve for x
    x = 7,505,096,307.36/106,334.80
  6. Step 6: Final answer
    x = 70,579.87

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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.