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Finding the Fourth Proportional to 105,433.99, 158,159.09 and 30,555.16

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Solution

The fourth proportional to 105,433.99, 158,159.09 and 30,555.16 is: 45,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,433.99 : 158,159.09 = 30,555.16 : x
  2. Step 2: Convert to fraction form
    105,433.99/158,159.09 = 30,555.16/x
  3. Step 3: Cross multiply
    105,433.99x = 158,159.09 × 30,555.16
  4. Step 4: Simplify right side
    105,433.99x = 4,832,576,300.40
  5. Step 5: Solve for x
    x = 4,832,576,300.40/105,433.99
  6. Step 6: Final answer
    x = 45,835.09

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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.