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Finding the Fourth Proportional to 78,311.87, 117,441.47 and 28,381.51

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Solution

The fourth proportional to 78,311.87, 117,441.47 and 28,381.51 is: 42,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,311.87 : 117,441.47 = 28,381.51 : x
  2. Step 2: Convert to fraction form
    78,311.87/117,441.47 = 28,381.51/x
  3. Step 3: Cross multiply
    78,311.87x = 117,441.47 × 28,381.51
  4. Step 4: Simplify right side
    78,311.87x = 3,333,166,255.22
  5. Step 5: Solve for x
    x = 3,333,166,255.22/78,311.87
  6. Step 6: Final answer
    x = 42,562.72

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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.