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Finding the Fourth Proportional to 52,298.46, 78,447.02 and 12,855.92

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Solution

The fourth proportional to 52,298.46, 78,447.02 and 12,855.92 is: 19,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,298.46 : 78,447.02 = 12,855.92 : x
  2. Step 2: Convert to fraction form
    52,298.46/78,447.02 = 12,855.92/x
  3. Step 3: Cross multiply
    52,298.46x = 78,447.02 × 12,855.92
  4. Step 4: Simplify right side
    52,298.46x = 1,008,508,156.84
  5. Step 5: Solve for x
    x = 1,008,508,156.84/52,298.46
  6. Step 6: Final answer
    x = 19,283.71

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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.