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Finding the Fourth Proportional to 30,552, 45,835.68 and 8,664

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Solution

The fourth proportional to 30,552, 45,835.68 and 8,664 is: 12,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,552 : 45,835.68 = 8,664 : x
  2. Step 2: Convert to fraction form
    30,552/45,835.68 = 8,664/x
  3. Step 3: Cross multiply
    30,552x = 45,835.68 × 8,664
  4. Step 4: Simplify right side
    30,552x = 397,120,331.52
  5. Step 5: Solve for x
    x = 397,120,331.52/30,552
  6. Step 6: Final answer
    x = 12,998.18

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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.