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Finding the Fourth Proportional to 34,176.80, 47,094 and 25,210.10

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Solution

The fourth proportional to 34,176.80, 47,094 and 25,210.10 is: 34,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.80 : 47,094 = 25,210.10 : x
  2. Step 2: Convert to fraction form
    34,176.80/47,094 = 25,210.10/x
  3. Step 3: Cross multiply
    34,176.80x = 47,094 × 25,210.10
  4. Step 4: Simplify right side
    34,176.80x = 1,187,244,449.40
  5. Step 5: Solve for x
    x = 1,187,244,449.40/34,176.80
  6. Step 6: Final answer
    x = 34,738.32

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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.