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Finding the Fourth Proportional to 105,686.58, 158,483.79 and 39,976.50

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Solution

The fourth proportional to 105,686.58, 158,483.79 and 39,976.50 is: 59,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,686.58 : 158,483.79 = 39,976.50 : x
  2. Step 2: Convert to fraction form
    105,686.58/158,483.79 = 39,976.50/x
  3. Step 3: Cross multiply
    105,686.58x = 158,483.79 × 39,976.50
  4. Step 4: Simplify right side
    105,686.58x = 6,335,627,230.94
  5. Step 5: Solve for x
    x = 6,335,627,230.94/105,686.58
  6. Step 6: Final answer
    x = 59,947.32

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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.