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Finding the Fourth Proportional to 34,720.54, 47,878.50 and 29,701.38

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Solution

The fourth proportional to 34,720.54, 47,878.50 and 29,701.38 is: 40,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,720.54 : 47,878.50 = 29,701.38 : x
  2. Step 2: Convert to fraction form
    34,720.54/47,878.50 = 29,701.38/x
  3. Step 3: Cross multiply
    34,720.54x = 47,878.50 × 29,701.38
  4. Step 4: Simplify right side
    34,720.54x = 1,422,057,522.33
  5. Step 5: Solve for x
    x = 1,422,057,522.33/34,720.54
  6. Step 6: Final answer
    x = 40,957.24

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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.