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Finding the Fourth Proportional to 32,105.40, 48,143.70 and 14,566.20

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Solution

The fourth proportional to 32,105.40, 48,143.70 and 14,566.20 is: 21,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.40 : 48,143.70 = 14,566.20 : x
  2. Step 2: Convert to fraction form
    32,105.40/48,143.70 = 14,566.20/x
  3. Step 3: Cross multiply
    32,105.40x = 48,143.70 × 14,566.20
  4. Step 4: Simplify right side
    32,105.40x = 701,270,762.94
  5. Step 5: Solve for x
    x = 701,270,762.94/32,105.40
  6. Step 6: Final answer
    x = 21,842.77

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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.