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Finding the Fourth Proportional to 52,858.53, 79,290.54 and 13,416.03

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Solution

The fourth proportional to 52,858.53, 79,290.54 and 13,416.03 is: 20,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,858.53 : 79,290.54 = 13,416.03 : x
  2. Step 2: Convert to fraction form
    52,858.53/79,290.54 = 13,416.03/x
  3. Step 3: Cross multiply
    52,858.53x = 79,290.54 × 13,416.03
  4. Step 4: Simplify right side
    52,858.53x = 1,063,764,263.36
  5. Step 5: Solve for x
    x = 1,063,764,263.36/52,858.53
  6. Step 6: Final answer
    x = 20,124.74

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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.