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Finding the Fourth Proportional to 78,375.84, 117,586.50 and 28,455.12

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Solution

The fourth proportional to 78,375.84, 117,586.50 and 28,455.12 is: 42,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375.84 : 117,586.50 = 28,455.12 : x
  2. Step 2: Convert to fraction form
    78,375.84/117,586.50 = 28,455.12/x
  3. Step 3: Cross multiply
    78,375.84x = 117,586.50 × 28,455.12
  4. Step 4: Simplify right side
    78,375.84x = 3,345,937,967.88
  5. Step 5: Solve for x
    x = 3,345,937,967.88/78,375.84
  6. Step 6: Final answer
    x = 42,690.94

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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.