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Finding the Fourth Proportional to 52,913.84, 79,365.89 and 17,853.80

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Solution

The fourth proportional to 52,913.84, 79,365.89 and 17,853.80 is: 26,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,913.84 : 79,365.89 = 17,853.80 : x
  2. Step 2: Convert to fraction form
    52,913.84/79,365.89 = 17,853.80/x
  3. Step 3: Cross multiply
    52,913.84x = 79,365.89 × 17,853.80
  4. Step 4: Simplify right side
    52,913.84x = 1,416,982,374.69
  5. Step 5: Solve for x
    x = 1,416,982,374.69/52,913.84
  6. Step 6: Final answer
    x = 26,779.05

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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.