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Finding the Fourth Proportional to 52,836, 79,198.14 and 19,534.68

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Solution

The fourth proportional to 52,836, 79,198.14 and 19,534.68 is: 29,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,836 : 79,198.14 = 19,534.68 : x
  2. Step 2: Convert to fraction form
    52,836/79,198.14 = 19,534.68/x
  3. Step 3: Cross multiply
    52,836x = 79,198.14 × 19,534.68
  4. Step 4: Simplify right side
    52,836x = 1,547,110,321.50
  5. Step 5: Solve for x
    x = 1,547,110,321.50/52,836
  6. Step 6: Final answer
    x = 29,281.37

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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.