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Finding the Fourth Proportional to 35,695.49, 49,258.53 and 19,781.42

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Solution

The fourth proportional to 35,695.49, 49,258.53 and 19,781.42 is: 27,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.49 : 49,258.53 = 19,781.42 : x
  2. Step 2: Convert to fraction form
    35,695.49/49,258.53 = 19,781.42/x
  3. Step 3: Cross multiply
    35,695.49x = 49,258.53 × 19,781.42
  4. Step 4: Simplify right side
    35,695.49x = 974,403,424.22
  5. Step 5: Solve for x
    x = 974,403,424.22/35,695.49
  6. Step 6: Final answer
    x = 27,297.67

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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.