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Finding the Fourth Proportional to 52,174.68, 78,250.14 and 14,738.64

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Solution

The fourth proportional to 52,174.68, 78,250.14 and 14,738.64 is: 22,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,174.68 : 78,250.14 = 14,738.64 : x
  2. Step 2: Convert to fraction form
    52,174.68/78,250.14 = 14,738.64/x
  3. Step 3: Cross multiply
    52,174.68x = 78,250.14 × 14,738.64
  4. Step 4: Simplify right side
    52,174.68x = 1,153,300,643.41
  5. Step 5: Solve for x
    x = 1,153,300,643.41/52,174.68
  6. Step 6: Final answer
    x = 22,104.60

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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.