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Finding the Fourth Proportional to 52,073, 78,106.62 and 14,635.64

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Solution

The fourth proportional to 52,073, 78,106.62 and 14,635.64 is: 21,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,073 : 78,106.62 = 14,635.64 : x
  2. Step 2: Convert to fraction form
    52,073/78,106.62 = 14,635.64/x
  3. Step 3: Cross multiply
    52,073x = 78,106.62 × 14,635.64
  4. Step 4: Simplify right side
    52,073x = 1,143,140,371.94
  5. Step 5: Solve for x
    x = 1,143,140,371.94/52,073
  6. Step 6: Final answer
    x = 21,952.65

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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.