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Finding the Fourth Proportional to 52,840, 79,204.14 and 19,538.68

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Solution

The fourth proportional to 52,840, 79,204.14 and 19,538.68 is: 29,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,840 : 79,204.14 = 19,538.68 : x
  2. Step 2: Convert to fraction form
    52,840/79,204.14 = 19,538.68/x
  3. Step 3: Cross multiply
    52,840x = 79,204.14 × 19,538.68
  4. Step 4: Simplify right side
    52,840x = 1,547,544,346.14
  5. Step 5: Solve for x
    x = 1,547,544,346.14/52,840
  6. Step 6: Final answer
    x = 29,287.36

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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.