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Finding the Fourth Proportional to 32,225.10, 48,280.40 and 13,463.81

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Solution

The fourth proportional to 32,225.10, 48,280.40 and 13,463.81 is: 20,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.10 : 48,280.40 = 13,463.81 : x
  2. Step 2: Convert to fraction form
    32,225.10/48,280.40 = 13,463.81/x
  3. Step 3: Cross multiply
    32,225.10x = 48,280.40 × 13,463.81
  4. Step 4: Simplify right side
    32,225.10x = 650,038,132.32
  5. Step 5: Solve for x
    x = 650,038,132.32/32,225.10
  6. Step 6: Final answer
    x = 20,171.80

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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.