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Finding the Fourth Proportional to 97,235.60, 145,914.89 and 38,069.73

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Solution

The fourth proportional to 97,235.60, 145,914.89 and 38,069.73 is: 57,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,235.60 : 145,914.89 = 38,069.73 : x
  2. Step 2: Convert to fraction form
    97,235.60/145,914.89 = 38,069.73/x
  3. Step 3: Cross multiply
    97,235.60x = 145,914.89 × 38,069.73
  4. Step 4: Simplify right side
    97,235.60x = 5,554,940,274.93
  5. Step 5: Solve for x
    x = 5,554,940,274.93/97,235.60
  6. Step 6: Final answer
    x = 57,128.67

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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.