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Finding the Fourth Proportional to 49,152, 73,709.28 and 17,556.15

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Solution

The fourth proportional to 49,152, 73,709.28 and 17,556.15 is: 26,327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152 : 73,709.28 = 17,556.15 : x
  2. Step 2: Convert to fraction form
    49,152/73,709.28 = 17,556.15/x
  3. Step 3: Cross multiply
    49,152x = 73,709.28 × 17,556.15
  4. Step 4: Simplify right side
    49,152x = 1,294,051,176.07
  5. Step 5: Solve for x
    x = 1,294,051,176.07/49,152
  6. Step 6: Final answer
    x = 26,327.54

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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.