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Finding the Fourth Proportional to 84,775.44, 116,953.56 and 51,222

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Solution

The fourth proportional to 84,775.44, 116,953.56 and 51,222 is: 70,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,775.44 : 116,953.56 = 51,222 : x
  2. Step 2: Convert to fraction form
    84,775.44/116,953.56 = 51,222/x
  3. Step 3: Cross multiply
    84,775.44x = 116,953.56 × 51,222
  4. Step 4: Simplify right side
    84,775.44x = 5,990,595,250.32
  5. Step 5: Solve for x
    x = 5,990,595,250.32/84,775.44
  6. Step 6: Final answer
    x = 70,664.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.