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Finding the Fourth Proportional to 103,635, 143,016.30 and 58,931.64

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Solution

The fourth proportional to 103,635, 143,016.30 and 58,931.64 is: 81,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 143,016.30 = 58,931.64 : x
  2. Step 2: Convert to fraction form
    103,635/143,016.30 = 58,931.64/x
  3. Step 3: Cross multiply
    103,635x = 143,016.30 × 58,931.64
  4. Step 4: Simplify right side
    103,635x = 8,428,185,105.73
  5. Step 5: Solve for x
    x = 8,428,185,105.73/103,635
  6. Step 6: Final answer
    x = 81,325.66

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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.