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Finding the Fourth Proportional to 103,635.50, 143,017 and 58,923.50

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Solution

The fourth proportional to 103,635.50, 143,017 and 58,923.50 is: 81,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635.50 : 143,017 = 58,923.50 : x
  2. Step 2: Convert to fraction form
    103,635.50/143,017 = 58,923.50/x
  3. Step 3: Cross multiply
    103,635.50x = 143,017 × 58,923.50
  4. Step 4: Simplify right side
    103,635.50x = 8,427,062,199.50
  5. Step 5: Solve for x
    x = 8,427,062,199.50/103,635.50
  6. Step 6: Final answer
    x = 81,314.44

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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.