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Finding the Fourth Proportional to 29,782.16, 44,680.56 and 21,034.16

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Solution

The fourth proportional to 29,782.16, 44,680.56 and 21,034.16 is: 31,556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.16 : 44,680.56 = 21,034.16 : x
  2. Step 2: Convert to fraction form
    29,782.16/44,680.56 = 21,034.16/x
  3. Step 3: Cross multiply
    29,782.16x = 44,680.56 × 21,034.16
  4. Step 4: Simplify right side
    29,782.16x = 939,818,047.93
  5. Step 5: Solve for x
    x = 939,818,047.93/29,782.16
  6. Step 6: Final answer
    x = 31,556.41

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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.