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Finding the Fourth Proportional to 41,207, 61,820.86 and 19,036.06

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Solution

The fourth proportional to 41,207, 61,820.86 and 19,036.06 is: 28,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,207 : 61,820.86 = 19,036.06 : x
  2. Step 2: Convert to fraction form
    41,207/61,820.86 = 19,036.06/x
  3. Step 3: Cross multiply
    41,207x = 61,820.86 × 19,036.06
  4. Step 4: Simplify right side
    41,207x = 1,176,825,600.21
  5. Step 5: Solve for x
    x = 1,176,825,600.21/41,207
  6. Step 6: Final answer
    x = 28,558.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.