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Finding the Fourth Proportional to 52,145.84, 71,955.88 and 32,003.57

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Solution

The fourth proportional to 52,145.84, 71,955.88 and 32,003.57 is: 44,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.84 : 71,955.88 = 32,003.57 : x
  2. Step 2: Convert to fraction form
    52,145.84/71,955.88 = 32,003.57/x
  3. Step 3: Cross multiply
    52,145.84x = 71,955.88 × 32,003.57
  4. Step 4: Simplify right side
    52,145.84x = 2,302,845,142.37
  5. Step 5: Solve for x
    x = 2,302,845,142.37/52,145.84
  6. Step 6: Final answer
    x = 44,161.63

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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.