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Finding the Fourth Proportional to 32,114.48, 48,171.56 and 8,740.86

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Solution

The fourth proportional to 32,114.48, 48,171.56 and 8,740.86 is: 13,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.48 : 48,171.56 = 8,740.86 : x
  2. Step 2: Convert to fraction form
    32,114.48/48,171.56 = 8,740.86/x
  3. Step 3: Cross multiply
    32,114.48x = 48,171.56 × 8,740.86
  4. Step 4: Simplify right side
    32,114.48x = 421,060,861.94
  5. Step 5: Solve for x
    x = 421,060,861.94/32,114.48
  6. Step 6: Final answer
    x = 13,111.25

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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.