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Finding the Fourth Proportional to 52,672.77, 78,977.55 and 24,174

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Solution

The fourth proportional to 52,672.77, 78,977.55 and 24,174 is: 36,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,672.77 : 78,977.55 = 24,174 : x
  2. Step 2: Convert to fraction form
    52,672.77/78,977.55 = 24,174/x
  3. Step 3: Cross multiply
    52,672.77x = 78,977.55 × 24,174
  4. Step 4: Simplify right side
    52,672.77x = 1,909,203,293.70
  5. Step 5: Solve for x
    x = 1,909,203,293.70/52,672.77
  6. Step 6: Final answer
    x = 36,246.49

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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.