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Finding the Fourth Proportional to 115,704.96, 173,564.16 and 32,592

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Solution

The fourth proportional to 115,704.96, 173,564.16 and 32,592 is: 48,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,704.96 : 173,564.16 = 32,592 : x
  2. Step 2: Convert to fraction form
    115,704.96/173,564.16 = 32,592/x
  3. Step 3: Cross multiply
    115,704.96x = 173,564.16 × 32,592
  4. Step 4: Simplify right side
    115,704.96x = 5,656,803,102.72
  5. Step 5: Solve for x
    x = 5,656,803,102.72/115,704.96
  6. Step 6: Final answer
    x = 48,889.89

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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.