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Finding the Fourth Proportional to 34,478.93, 47,563.05 and 23,152.38

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Solution

The fourth proportional to 34,478.93, 47,563.05 and 23,152.38 is: 31,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478.93 : 47,563.05 = 23,152.38 : x
  2. Step 2: Convert to fraction form
    34,478.93/47,563.05 = 23,152.38/x
  3. Step 3: Cross multiply
    34,478.93x = 47,563.05 × 23,152.38
  4. Step 4: Simplify right side
    34,478.93x = 1,101,197,853.33
  5. Step 5: Solve for x
    x = 1,101,197,853.33/34,478.93
  6. Step 6: Final answer
    x = 31,938.28

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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.