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Finding the Fourth Proportional to 32,556.36, 48,834.54 and 11,775

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Solution

The fourth proportional to 32,556.36, 48,834.54 and 11,775 is: 17,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,556.36 : 48,834.54 = 11,775 : x
  2. Step 2: Convert to fraction form
    32,556.36/48,834.54 = 11,775/x
  3. Step 3: Cross multiply
    32,556.36x = 48,834.54 × 11,775
  4. Step 4: Simplify right side
    32,556.36x = 575,026,708.50
  5. Step 5: Solve for x
    x = 575,026,708.50/32,556.36
  6. Step 6: Final answer
    x = 17,662.50

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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.