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Finding the Fourth Proportional to 32,856.59, 49,285.76 and 9,483

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Solution

The fourth proportional to 32,856.59, 49,285.76 and 9,483 is: 14,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.59 : 49,285.76 = 9,483 : x
  2. Step 2: Convert to fraction form
    32,856.59/49,285.76 = 9,483/x
  3. Step 3: Cross multiply
    32,856.59x = 49,285.76 × 9,483
  4. Step 4: Simplify right side
    32,856.59x = 467,376,814.67
  5. Step 5: Solve for x
    x = 467,376,814.67/32,856.59
  6. Step 6: Final answer
    x = 14,224.75

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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.