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Finding the Fourth Proportional to 97,559.86, 146,322.78 and 27,422.50

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Solution

The fourth proportional to 97,559.86, 146,322.78 and 27,422.50 is: 41,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,559.86 : 146,322.78 = 27,422.50 : x
  2. Step 2: Convert to fraction form
    97,559.86/146,322.78 = 27,422.50/x
  3. Step 3: Cross multiply
    97,559.86x = 146,322.78 × 27,422.50
  4. Step 4: Simplify right side
    97,559.86x = 4,012,536,434.55
  5. Step 5: Solve for x
    x = 4,012,536,434.55/97,559.86
  6. Step 6: Final answer
    x = 41,128.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.