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Finding the Fourth Proportional to 32,927.76, 49,393.26 and 9,556.02

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Solution

The fourth proportional to 32,927.76, 49,393.26 and 9,556.02 is: 14,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927.76 : 49,393.26 = 9,556.02 : x
  2. Step 2: Convert to fraction form
    32,927.76/49,393.26 = 9,556.02/x
  3. Step 3: Cross multiply
    32,927.76x = 49,393.26 × 9,556.02
  4. Step 4: Simplify right side
    32,927.76x = 472,002,980.43
  5. Step 5: Solve for x
    x = 472,002,980.43/32,927.76
  6. Step 6: Final answer
    x = 14,334.50

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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.