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Finding the Fourth Proportional to 52,062.75, 78,094.13 and 20,898

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Solution

The fourth proportional to 52,062.75, 78,094.13 and 20,898 is: 31,347

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062.75 : 78,094.13 = 20,898 : x
  2. Step 2: Convert to fraction form
    52,062.75/78,094.13 = 20,898/x
  3. Step 3: Cross multiply
    52,062.75x = 78,094.13 × 20,898
  4. Step 4: Simplify right side
    52,062.75x = 1,632,011,024.25
  5. Step 5: Solve for x
    x = 1,632,011,024.25/52,062.75
  6. Step 6: Final answer
    x = 31,347

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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.