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Finding the Fourth Proportional to 52,907.96, 79,362.42 and 13,465.12

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Solution

The fourth proportional to 52,907.96, 79,362.42 and 13,465.12 is: 20,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,907.96 : 79,362.42 = 13,465.12 : x
  2. Step 2: Convert to fraction form
    52,907.96/79,362.42 = 13,465.12/x
  3. Step 3: Cross multiply
    52,907.96x = 79,362.42 × 13,465.12
  4. Step 4: Simplify right side
    52,907.96x = 1,068,624,508.79
  5. Step 5: Solve for x
    x = 1,068,624,508.79/52,907.96
  6. Step 6: Final answer
    x = 20,197.80

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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.