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Finding the Fourth Proportional to 32,323.96, 48,459.76 and 14,541.60

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Solution

The fourth proportional to 32,323.96, 48,459.76 and 14,541.60 is: 21,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323.96 : 48,459.76 = 14,541.60 : x
  2. Step 2: Convert to fraction form
    32,323.96/48,459.76 = 14,541.60/x
  3. Step 3: Cross multiply
    32,323.96x = 48,459.76 × 14,541.60
  4. Step 4: Simplify right side
    32,323.96x = 704,682,446.02
  5. Step 5: Solve for x
    x = 704,682,446.02/32,323.96
  6. Step 6: Final answer
    x = 21,800.62

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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.