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Finding the Fourth Proportional to 52,842.32, 79,273.84 and 19,562.64

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Solution

The fourth proportional to 52,842.32, 79,273.84 and 19,562.64 is: 29,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842.32 : 79,273.84 = 19,562.64 : x
  2. Step 2: Convert to fraction form
    52,842.32/79,273.84 = 19,562.64/x
  3. Step 3: Cross multiply
    52,842.32x = 79,273.84 × 19,562.64
  4. Step 4: Simplify right side
    52,842.32x = 1,550,805,593.34
  5. Step 5: Solve for x
    x = 1,550,805,593.34/52,842.32
  6. Step 6: Final answer
    x = 29,347.80

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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.