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Finding the Fourth Proportional to 30,700.31, 46,050.46 and 8,513.69

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Solution

The fourth proportional to 30,700.31, 46,050.46 and 8,513.69 is: 12,770.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.31 : 46,050.46 = 8,513.69 : x
  2. Step 2: Convert to fraction form
    30,700.31/46,050.46 = 8,513.69/x
  3. Step 3: Cross multiply
    30,700.31x = 46,050.46 × 8,513.69
  4. Step 4: Simplify right side
    30,700.31x = 392,059,089.26
  5. Step 5: Solve for x
    x = 392,059,089.26/30,700.31
  6. Step 6: Final answer
    x = 12,770.53

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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.