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Finding the Fourth Proportional to 106,251.60, 159,303.60 and 47,055

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Solution

The fourth proportional to 106,251.60, 159,303.60 and 47,055 is: 70,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,251.60 : 159,303.60 = 47,055 : x
  2. Step 2: Convert to fraction form
    106,251.60/159,303.60 = 47,055/x
  3. Step 3: Cross multiply
    106,251.60x = 159,303.60 × 47,055
  4. Step 4: Simplify right side
    106,251.60x = 7,496,030,898
  5. Step 5: Solve for x
    x = 7,496,030,898/106,251.60
  6. Step 6: Final answer
    x = 70,549.82

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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.