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Finding the Fourth Proportional to 35,741.39, 49,322.76 and 19,825.79

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Solution

The fourth proportional to 35,741.39, 49,322.76 and 19,825.79 is: 27,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.39 : 49,322.76 = 19,825.79 : x
  2. Step 2: Convert to fraction form
    35,741.39/49,322.76 = 19,825.79/x
  3. Step 3: Cross multiply
    35,741.39x = 49,322.76 × 19,825.79
  4. Step 4: Simplify right side
    35,741.39x = 977,862,681.98
  5. Step 5: Solve for x
    x = 977,862,681.98/35,741.39
  6. Step 6: Final answer
    x = 27,359.39

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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.