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Finding the Fourth Proportional to 119,528.30, 179,292.57 and 30,782

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Solution

The fourth proportional to 119,528.30, 179,292.57 and 30,782 is: 46,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,528.30 : 179,292.57 = 30,782 : x
  2. Step 2: Convert to fraction form
    119,528.30/179,292.57 = 30,782/x
  3. Step 3: Cross multiply
    119,528.30x = 179,292.57 × 30,782
  4. Step 4: Simplify right side
    119,528.30x = 5,518,983,889.74
  5. Step 5: Solve for x
    x = 5,518,983,889.74/119,528.30
  6. Step 6: Final answer
    x = 46,173.03

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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.