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Finding the Fourth Proportional to 32,805, 45,271.06 and 17,901

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Solution

The fourth proportional to 32,805, 45,271.06 and 17,901 is: 24,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805 : 45,271.06 = 17,901 : x
  2. Step 2: Convert to fraction form
    32,805/45,271.06 = 17,901/x
  3. Step 3: Cross multiply
    32,805x = 45,271.06 × 17,901
  4. Step 4: Simplify right side
    32,805x = 810,397,245.06
  5. Step 5: Solve for x
    x = 810,397,245.06/32,805
  6. Step 6: Final answer
    x = 24,703.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.