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Finding the Fourth Proportional to 30,367.17, 45,558 and 9,590.67

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Solution

The fourth proportional to 30,367.17, 45,558 and 9,590.67 is: 14,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,367.17 : 45,558 = 9,590.67 : x
  2. Step 2: Convert to fraction form
    30,367.17/45,558 = 9,590.67/x
  3. Step 3: Cross multiply
    30,367.17x = 45,558 × 9,590.67
  4. Step 4: Simplify right side
    30,367.17x = 436,931,743.86
  5. Step 5: Solve for x
    x = 436,931,743.86/30,367.17
  6. Step 6: Final answer
    x = 14,388.29

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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.