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Finding the Fourth Proportional to 34,142.40, 51,222.60 and 22,478.40

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Solution

The fourth proportional to 34,142.40, 51,222.60 and 22,478.40 is: 33,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.40 : 51,222.60 = 22,478.40 : x
  2. Step 2: Convert to fraction form
    34,142.40/51,222.60 = 22,478.40/x
  3. Step 3: Cross multiply
    34,142.40x = 51,222.60 × 22,478.40
  4. Step 4: Simplify right side
    34,142.40x = 1,151,402,091.84
  5. Step 5: Solve for x
    x = 1,151,402,091.84/34,142.40
  6. Step 6: Final answer
    x = 33,723.53

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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.