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Finding the Fourth Proportional to 30,456.30, 42,024.57 and 17,027.67

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Solution

The fourth proportional to 30,456.30, 42,024.57 and 17,027.67 is: 23,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.30 : 42,024.57 = 17,027.67 : x
  2. Step 2: Convert to fraction form
    30,456.30/42,024.57 = 17,027.67/x
  3. Step 3: Cross multiply
    30,456.30x = 42,024.57 × 17,027.67
  4. Step 4: Simplify right side
    30,456.30x = 715,580,509.85
  5. Step 5: Solve for x
    x = 715,580,509.85/30,456.30
  6. Step 6: Final answer
    x = 23,495.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.