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Finding the Fourth Proportional to 106,360, 159,527.64 and 27,468.02

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Solution

The fourth proportional to 106,360, 159,527.64 and 27,468.02 is: 41,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,360 : 159,527.64 = 27,468.02 : x
  2. Step 2: Convert to fraction form
    106,360/159,527.64 = 27,468.02/x
  3. Step 3: Cross multiply
    106,360x = 159,527.64 × 27,468.02
  4. Step 4: Simplify right side
    106,360x = 4,381,908,406.07
  5. Step 5: Solve for x
    x = 4,381,908,406.07/106,360
  6. Step 6: Final answer
    x = 41,198.84

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Why These Related Problems?

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