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Finding the Fourth Proportional to 35,780.76, 49,373.84 and 19,863.48

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Solution

The fourth proportional to 35,780.76, 49,373.84 and 19,863.48 is: 27,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.76 : 49,373.84 = 19,863.48 : x
  2. Step 2: Convert to fraction form
    35,780.76/49,373.84 = 19,863.48/x
  3. Step 3: Cross multiply
    35,780.76x = 49,373.84 × 19,863.48
  4. Step 4: Simplify right side
    35,780.76x = 980,736,283.36
  5. Step 5: Solve for x
    x = 980,736,283.36/35,780.76
  6. Step 6: Final answer
    x = 27,409.60

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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.