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Finding the Fourth Proportional to 41,817, 57,707.49 and 22,955.34

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Solution

The fourth proportional to 41,817, 57,707.49 and 22,955.34 is: 31,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,817 : 57,707.49 = 22,955.34 : x
  2. Step 2: Convert to fraction form
    41,817/57,707.49 = 22,955.34/x
  3. Step 3: Cross multiply
    41,817x = 57,707.49 × 22,955.34
  4. Step 4: Simplify right side
    41,817x = 1,324,695,053.50
  5. Step 5: Solve for x
    x = 1,324,695,053.50/41,817
  6. Step 6: Final answer
    x = 31,678.39

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Double scale
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1.5x scale

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.