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Finding the Fourth Proportional to 30,668.56, 46,002.79 and 9,610.22

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Solution

The fourth proportional to 30,668.56, 46,002.79 and 9,610.22 is: 14,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.56 : 46,002.79 = 9,610.22 : x
  2. Step 2: Convert to fraction form
    30,668.56/46,002.79 = 9,610.22/x
  3. Step 3: Cross multiply
    30,668.56x = 46,002.79 × 9,610.22
  4. Step 4: Simplify right side
    30,668.56x = 442,096,746.71
  5. Step 5: Solve for x
    x = 442,096,746.71/30,668.56
  6. Step 6: Final answer
    x = 14,415.31

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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.