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Finding the Fourth Proportional to 30,758.88, 46,138.32 and 23,749.11

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Solution

The fourth proportional to 30,758.88, 46,138.32 and 23,749.11 is: 35,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.88 : 46,138.32 = 23,749.11 : x
  2. Step 2: Convert to fraction form
    30,758.88/46,138.32 = 23,749.11/x
  3. Step 3: Cross multiply
    30,758.88x = 46,138.32 × 23,749.11
  4. Step 4: Simplify right side
    30,758.88x = 1,095,744,036.90
  5. Step 5: Solve for x
    x = 1,095,744,036.90/30,758.88
  6. Step 6: Final answer
    x = 35,623.67

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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.