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Finding the Fourth Proportional to 35,780.74, 49,378.62 and 19,863.70

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Solution

The fourth proportional to 35,780.74, 49,378.62 and 19,863.70 is: 27,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.74 : 49,378.62 = 19,863.70 : x
  2. Step 2: Convert to fraction form
    35,780.74/49,378.62 = 19,863.70/x
  3. Step 3: Cross multiply
    35,780.74x = 49,378.62 × 19,863.70
  4. Step 4: Simplify right side
    35,780.74x = 980,842,094.09
  5. Step 5: Solve for x
    x = 980,842,094.09/35,780.74
  6. Step 6: Final answer
    x = 27,412.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.