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Finding the Fourth Proportional to 30,715.96, 46,068.36 and 8,523.76

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Solution

The fourth proportional to 30,715.96, 46,068.36 and 8,523.76 is: 12,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.96 : 46,068.36 = 8,523.76 : x
  2. Step 2: Convert to fraction form
    30,715.96/46,068.36 = 8,523.76/x
  3. Step 3: Cross multiply
    30,715.96x = 46,068.36 × 8,523.76
  4. Step 4: Simplify right side
    30,715.96x = 392,675,644.23
  5. Step 5: Solve for x
    x = 392,675,644.23/30,715.96
  6. Step 6: Final answer
    x = 12,784.09

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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.