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Finding the Fourth Proportional to 35,782.01, 49,370.28 and 19,862.48

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Solution

The fourth proportional to 35,782.01, 49,370.28 and 19,862.48 is: 27,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.01 : 49,370.28 = 19,862.48 : x
  2. Step 2: Convert to fraction form
    35,782.01/49,370.28 = 19,862.48/x
  3. Step 3: Cross multiply
    35,782.01x = 49,370.28 × 19,862.48
  4. Step 4: Simplify right side
    35,782.01x = 980,616,199.09
  5. Step 5: Solve for x
    x = 980,616,199.09/35,782.01
  6. Step 6: Final answer
    x = 27,405.29

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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.