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Finding the Fourth Proportional to 52,110, 78,167.16 and 15,174

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Solution

The fourth proportional to 52,110, 78,167.16 and 15,174 is: 22,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110 : 78,167.16 = 15,174 : x
  2. Step 2: Convert to fraction form
    52,110/78,167.16 = 15,174/x
  3. Step 3: Cross multiply
    52,110x = 78,167.16 × 15,174
  4. Step 4: Simplify right side
    52,110x = 1,186,108,485.84
  5. Step 5: Solve for x
    x = 1,186,108,485.84/52,110
  6. Step 6: Final answer
    x = 22,761.63

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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.