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Finding the Fourth Proportional to 38,841.50, 53,593.23 and 22,705.68

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Solution

The fourth proportional to 38,841.50, 53,593.23 and 22,705.68 is: 31,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,841.50 : 53,593.23 = 22,705.68 : x
  2. Step 2: Convert to fraction form
    38,841.50/53,593.23 = 22,705.68/x
  3. Step 3: Cross multiply
    38,841.50x = 53,593.23 × 22,705.68
  4. Step 4: Simplify right side
    38,841.50x = 1,216,870,483.03
  5. Step 5: Solve for x
    x = 1,216,870,483.03/38,841.50
  6. Step 6: Final answer
    x = 31,329.13

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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.