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Finding the Fourth Proportional to 32,056.86, 48,080.43 and 11,275.50

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Solution

The fourth proportional to 32,056.86, 48,080.43 and 11,275.50 is: 16,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056.86 : 48,080.43 = 11,275.50 : x
  2. Step 2: Convert to fraction form
    32,056.86/48,080.43 = 11,275.50/x
  3. Step 3: Cross multiply
    32,056.86x = 48,080.43 × 11,275.50
  4. Step 4: Simplify right side
    32,056.86x = 542,130,888.47
  5. Step 5: Solve for x
    x = 542,130,888.47/32,056.86
  6. Step 6: Final answer
    x = 16,911.54

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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.