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Finding the Fourth Proportional to 101,784.93, 152,615.83 and 45,614.67

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Solution

The fourth proportional to 101,784.93, 152,615.83 and 45,614.67 is: 68,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.93 : 152,615.83 = 45,614.67 : x
  2. Step 2: Convert to fraction form
    101,784.93/152,615.83 = 45,614.67/x
  3. Step 3: Cross multiply
    101,784.93x = 152,615.83 × 45,614.67
  4. Step 4: Simplify right side
    101,784.93x = 6,961,520,722.23
  5. Step 5: Solve for x
    x = 6,961,520,722.23/101,784.93
  6. Step 6: Final answer
    x = 68,394.41

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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.