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Finding the Fourth Proportional to 30,788.34, 46,188.76 and 9,731.67

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Solution

The fourth proportional to 30,788.34, 46,188.76 and 9,731.67 is: 14,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.34 : 46,188.76 = 9,731.67 : x
  2. Step 2: Convert to fraction form
    30,788.34/46,188.76 = 9,731.67/x
  3. Step 3: Cross multiply
    30,788.34x = 46,188.76 × 9,731.67
  4. Step 4: Simplify right side
    30,788.34x = 449,493,590.74
  5. Step 5: Solve for x
    x = 449,493,590.74/30,788.34
  6. Step 6: Final answer
    x = 14,599.48

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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.