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Finding the Fourth Proportional to 52,851, 79,220.64 and 19,549.68

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Solution

The fourth proportional to 52,851, 79,220.64 and 19,549.68 is: 29,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,851 : 79,220.64 = 19,549.68 : x
  2. Step 2: Convert to fraction form
    52,851/79,220.64 = 19,549.68/x
  3. Step 3: Cross multiply
    52,851x = 79,220.64 × 19,549.68
  4. Step 4: Simplify right side
    52,851x = 1,548,738,161.40
  5. Step 5: Solve for x
    x = 1,548,738,161.40/52,851
  6. Step 6: Final answer
    x = 29,303.86

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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.