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Finding the Fourth Proportional to 52,109, 78,165.66 and 15,173

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Solution

The fourth proportional to 52,109, 78,165.66 and 15,173 is: 22,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,109 : 78,165.66 = 15,173 : x
  2. Step 2: Convert to fraction form
    52,109/78,165.66 = 15,173/x
  3. Step 3: Cross multiply
    52,109x = 78,165.66 × 15,173
  4. Step 4: Simplify right side
    52,109x = 1,186,007,559.18
  5. Step 5: Solve for x
    x = 1,186,007,559.18/52,109
  6. Step 6: Final answer
    x = 22,760.13

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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.