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Finding the Fourth Proportional to 32,285.26, 48,430.67 and 8,911.70

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Solution

The fourth proportional to 32,285.26, 48,430.67 and 8,911.70 is: 13,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,285.26 : 48,430.67 = 8,911.70 : x
  2. Step 2: Convert to fraction form
    32,285.26/48,430.67 = 8,911.70/x
  3. Step 3: Cross multiply
    32,285.26x = 48,430.67 × 8,911.70
  4. Step 4: Simplify right side
    32,285.26x = 431,599,601.84
  5. Step 5: Solve for x
    x = 431,599,601.84/32,285.26
  6. Step 6: Final answer
    x = 13,368.32

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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.