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Finding the Fourth Proportional to 35,597.34, 49,119.93 and 19,682.10

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Solution

The fourth proportional to 35,597.34, 49,119.93 and 19,682.10 is: 27,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,597.34 : 49,119.93 = 19,682.10 : x
  2. Step 2: Convert to fraction form
    35,597.34/49,119.93 = 19,682.10/x
  3. Step 3: Cross multiply
    35,597.34x = 49,119.93 × 19,682.10
  4. Step 4: Simplify right side
    35,597.34x = 966,783,374.25
  5. Step 5: Solve for x
    x = 966,783,374.25/35,597.34
  6. Step 6: Final answer
    x = 27,158.87

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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.