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Finding the Fourth Proportional to 53,858.50, 74,322.30 and 30,871.84

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Solution

The fourth proportional to 53,858.50, 74,322.30 and 30,871.84 is: 42,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858.50 : 74,322.30 = 30,871.84 : x
  2. Step 2: Convert to fraction form
    53,858.50/74,322.30 = 30,871.84/x
  3. Step 3: Cross multiply
    53,858.50x = 74,322.30 × 30,871.84
  4. Step 4: Simplify right side
    53,858.50x = 2,294,466,154.03
  5. Step 5: Solve for x
    x = 2,294,466,154.03/53,858.50
  6. Step 6: Final answer
    x = 42,601.75

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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.