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Finding the Fourth Proportional to 32,085.68, 48,135.72 and 11,309.36

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Solution

The fourth proportional to 32,085.68, 48,135.72 and 11,309.36 is: 16,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.68 : 48,135.72 = 11,309.36 : x
  2. Step 2: Convert to fraction form
    32,085.68/48,135.72 = 11,309.36/x
  3. Step 3: Cross multiply
    32,085.68x = 48,135.72 × 11,309.36
  4. Step 4: Simplify right side
    32,085.68x = 544,384,186.34
  5. Step 5: Solve for x
    x = 544,384,186.34/32,085.68
  6. Step 6: Final answer
    x = 16,966.58

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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.