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Finding the Fourth Proportional to 105,496.83, 158,268.33 and 30,618

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Solution

The fourth proportional to 105,496.83, 158,268.33 and 30,618 is: 45,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,496.83 : 158,268.33 = 30,618 : x
  2. Step 2: Convert to fraction form
    105,496.83/158,268.33 = 30,618/x
  3. Step 3: Cross multiply
    105,496.83x = 158,268.33 × 30,618
  4. Step 4: Simplify right side
    105,496.83x = 4,845,859,727.94
  5. Step 5: Solve for x
    x = 4,845,859,727.94/105,496.83
  6. Step 6: Final answer
    x = 45,933.70

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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.