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Finding the Fourth Proportional to 52,492.84, 78,694.67 and 24,429.20

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Solution

The fourth proportional to 52,492.84, 78,694.67 and 24,429.20 is: 36,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,492.84 : 78,694.67 = 24,429.20 : x
  2. Step 2: Convert to fraction form
    52,492.84/78,694.67 = 24,429.20/x
  3. Step 3: Cross multiply
    52,492.84x = 78,694.67 × 24,429.20
  4. Step 4: Simplify right side
    52,492.84x = 1,922,447,499.96
  5. Step 5: Solve for x
    x = 1,922,447,499.96/52,492.84
  6. Step 6: Final answer
    x = 36,623.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.