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Finding the Fourth Proportional to 52,969, 79,453.50 and 19,697.44

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Solution

The fourth proportional to 52,969, 79,453.50 and 19,697.44 is: 29,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,969 : 79,453.50 = 19,697.44 : x
  2. Step 2: Convert to fraction form
    52,969/79,453.50 = 19,697.44/x
  3. Step 3: Cross multiply
    52,969x = 79,453.50 × 19,697.44
  4. Step 4: Simplify right side
    52,969x = 1,565,030,549.04
  5. Step 5: Solve for x
    x = 1,565,030,549.04/52,969
  6. Step 6: Final answer
    x = 29,546.16

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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.