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Finding the Fourth Proportional to 53,696.49, 74,101.53 and 32,471.64

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Solution

The fourth proportional to 53,696.49, 74,101.53 and 32,471.64 is: 44,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696.49 : 74,101.53 = 32,471.64 : x
  2. Step 2: Convert to fraction form
    53,696.49/74,101.53 = 32,471.64/x
  3. Step 3: Cross multiply
    53,696.49x = 74,101.53 × 32,471.64
  4. Step 4: Simplify right side
    53,696.49x = 2,406,198,205.61
  5. Step 5: Solve for x
    x = 2,406,198,205.61/53,696.49
  6. Step 6: Final answer
    x = 44,811.09

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Why These Related Problems?

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