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Finding the Fourth Proportional to 94,270.82, 130,093.41 and 51,829.22

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Solution

The fourth proportional to 94,270.82, 130,093.41 and 51,829.22 is: 71,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,270.82 : 130,093.41 = 51,829.22 : x
  2. Step 2: Convert to fraction form
    94,270.82/130,093.41 = 51,829.22/x
  3. Step 3: Cross multiply
    94,270.82x = 130,093.41 × 51,829.22
  4. Step 4: Simplify right side
    94,270.82x = 6,742,639,967.44
  5. Step 5: Solve for x
    x = 6,742,639,967.44/94,270.82
  6. Step 6: Final answer
    x = 71,524.15

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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.