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Finding the Fourth Proportional to 53,538.56, 73,881.22 and 30,878.48

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Solution

The fourth proportional to 53,538.56, 73,881.22 and 30,878.48 is: 42,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.56 : 73,881.22 = 30,878.48 : x
  2. Step 2: Convert to fraction form
    53,538.56/73,881.22 = 30,878.48/x
  3. Step 3: Cross multiply
    53,538.56x = 73,881.22 × 30,878.48
  4. Step 4: Simplify right side
    53,538.56x = 2,281,339,774.15
  5. Step 5: Solve for x
    x = 2,281,339,774.15/53,538.56
  6. Step 6: Final answer
    x = 42,611.15

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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.