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Finding the Fourth Proportional to 32,176.60, 48,271.34 and 11,117.41

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Solution

The fourth proportional to 32,176.60, 48,271.34 and 11,117.41 is: 16,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.60 : 48,271.34 = 11,117.41 : x
  2. Step 2: Convert to fraction form
    32,176.60/48,271.34 = 11,117.41/x
  3. Step 3: Cross multiply
    32,176.60x = 48,271.34 × 11,117.41
  4. Step 4: Simplify right side
    32,176.60x = 536,652,278.03
  5. Step 5: Solve for x
    x = 536,652,278.03/32,176.60
  6. Step 6: Final answer
    x = 16,678.34

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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.