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Finding the Fourth Proportional to 85,492.34, 128,238.50 and 23,162.84

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Solution

The fourth proportional to 85,492.34, 128,238.50 and 23,162.84 is: 34,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,492.34 : 128,238.50 = 23,162.84 : x
  2. Step 2: Convert to fraction form
    85,492.34/128,238.50 = 23,162.84/x
  3. Step 3: Cross multiply
    85,492.34x = 128,238.50 × 23,162.84
  4. Step 4: Simplify right side
    85,492.34x = 2,970,367,426.85
  5. Step 5: Solve for x
    x = 2,970,367,426.85/85,492.34
  6. Step 6: Final answer
    x = 34,744.25

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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.