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Finding the Fourth Proportional to 89,236, 123,145.68 and 49,492

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Solution

The fourth proportional to 89,236, 123,145.68 and 49,492 is: 68,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,236 : 123,145.68 = 49,492 : x
  2. Step 2: Convert to fraction form
    89,236/123,145.68 = 49,492/x
  3. Step 3: Cross multiply
    89,236x = 123,145.68 × 49,492
  4. Step 4: Simplify right side
    89,236x = 6,094,725,994.56
  5. Step 5: Solve for x
    x = 6,094,725,994.56/89,236
  6. Step 6: Final answer
    x = 68,298.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.