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Finding the Fourth Proportional to 56,101, 84,086.94 and 22,784.50

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Solution

The fourth proportional to 56,101, 84,086.94 and 22,784.50 is: 34,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,101 : 84,086.94 = 22,784.50 : x
  2. Step 2: Convert to fraction form
    56,101/84,086.94 = 22,784.50/x
  3. Step 3: Cross multiply
    56,101x = 84,086.94 × 22,784.50
  4. Step 4: Simplify right side
    56,101x = 1,915,878,884.43
  5. Step 5: Solve for x
    x = 1,915,878,884.43/56,101
  6. Step 6: Final answer
    x = 34,150.53

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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.