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Finding the Fourth Proportional to 29,783.73, 41,095.83 and 19,034.22

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Solution

The fourth proportional to 29,783.73, 41,095.83 and 19,034.22 is: 26,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.73 : 41,095.83 = 19,034.22 : x
  2. Step 2: Convert to fraction form
    29,783.73/41,095.83 = 19,034.22/x
  3. Step 3: Cross multiply
    29,783.73x = 41,095.83 × 19,034.22
  4. Step 4: Simplify right side
    29,783.73x = 782,227,069.30
  5. Step 5: Solve for x
    x = 782,227,069.30/29,783.73
  6. Step 6: Final answer
    x = 26,263.57

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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.