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Finding the Fourth Proportional to 52,389.82, 78,204.38 and 48,486.84

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Solution

The fourth proportional to 52,389.82, 78,204.38 and 48,486.84 is: 72,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,389.82 : 78,204.38 = 48,486.84 : x
  2. Step 2: Convert to fraction form
    52,389.82/78,204.38 = 48,486.84/x
  3. Step 3: Cross multiply
    52,389.82x = 78,204.38 × 48,486.84
  4. Step 4: Simplify right side
    52,389.82x = 3,791,882,861.03
  5. Step 5: Solve for x
    x = 3,791,882,861.03/52,389.82
  6. Step 6: Final answer
    x = 72,378.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.