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Finding the Fourth Proportional to 35,534.80, 49,037.81 and 19,619.11

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Solution

The fourth proportional to 35,534.80, 49,037.81 and 19,619.11 is: 27,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534.80 : 49,037.81 = 19,619.11 : x
  2. Step 2: Convert to fraction form
    35,534.80/49,037.81 = 19,619.11/x
  3. Step 3: Cross multiply
    35,534.80x = 49,037.81 × 19,619.11
  4. Step 4: Simplify right side
    35,534.80x = 962,078,151.75
  5. Step 5: Solve for x
    x = 962,078,151.75/35,534.80
  6. Step 6: Final answer
    x = 27,074.25

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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.