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Finding the Fourth Proportional to 105,690.58, 158,489.79 and 39,980.50

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Solution

The fourth proportional to 105,690.58, 158,489.79 and 39,980.50 is: 59,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,690.58 : 158,489.79 = 39,980.50 : x
  2. Step 2: Convert to fraction form
    105,690.58/158,489.79 = 39,980.50/x
  3. Step 3: Cross multiply
    105,690.58x = 158,489.79 × 39,980.50
  4. Step 4: Simplify right side
    105,690.58x = 6,336,501,049.10
  5. Step 5: Solve for x
    x = 6,336,501,049.10/105,690.58
  6. Step 6: Final answer
    x = 59,953.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.