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Finding the Fourth Proportional to 30,097.85, 41,533.56 and 16,668.86

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Solution

The fourth proportional to 30,097.85, 41,533.56 and 16,668.86 is: 23,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.85 : 41,533.56 = 16,668.86 : x
  2. Step 2: Convert to fraction form
    30,097.85/41,533.56 = 16,668.86/x
  3. Step 3: Cross multiply
    30,097.85x = 41,533.56 × 16,668.86
  4. Step 4: Simplify right side
    30,097.85x = 692,316,889.27
  5. Step 5: Solve for x
    x = 692,316,889.27/30,097.85
  6. Step 6: Final answer
    x = 23,002.21

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