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Finding the Fourth Proportional to 48,496.34, 66,934.16 and 30,355.48

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Solution

The fourth proportional to 48,496.34, 66,934.16 and 30,355.48 is: 41,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,496.34 : 66,934.16 = 30,355.48 : x
  2. Step 2: Convert to fraction form
    48,496.34/66,934.16 = 30,355.48/x
  3. Step 3: Cross multiply
    48,496.34x = 66,934.16 × 30,355.48
  4. Step 4: Simplify right side
    48,496.34x = 2,031,818,771.67
  5. Step 5: Solve for x
    x = 2,031,818,771.67/48,496.34
  6. Step 6: Final answer
    x = 41,896.33

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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.