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Finding the Fourth Proportional to 30,762.95, 46,144.29 and 8,576.33

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Solution

The fourth proportional to 30,762.95, 46,144.29 and 8,576.33 is: 12,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.95 : 46,144.29 = 8,576.33 : x
  2. Step 2: Convert to fraction form
    30,762.95/46,144.29 = 8,576.33/x
  3. Step 3: Cross multiply
    30,762.95x = 46,144.29 × 8,576.33
  4. Step 4: Simplify right side
    30,762.95x = 395,748,658.66
  5. Step 5: Solve for x
    x = 395,748,658.66/30,762.95
  6. Step 6: Final answer
    x = 12,864.46

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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.