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Finding the Fourth Proportional to 105,833.56, 158,773.50 and 35,710.84

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Solution

The fourth proportional to 105,833.56, 158,773.50 and 35,710.84 is: 53,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,833.56 : 158,773.50 = 35,710.84 : x
  2. Step 2: Convert to fraction form
    105,833.56/158,773.50 = 35,710.84/x
  3. Step 3: Cross multiply
    105,833.56x = 158,773.50 × 35,710.84
  4. Step 4: Simplify right side
    105,833.56x = 5,669,935,054.74
  5. Step 5: Solve for x
    x = 5,669,935,054.74/105,833.56
  6. Step 6: Final answer
    x = 53,574.07

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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.