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Finding the Fourth Proportional to 123,047.70, 184,657.95 and 52,977.30

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Solution

The fourth proportional to 123,047.70, 184,657.95 and 52,977.30 is: 79,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,047.70 : 184,657.95 = 52,977.30 : x
  2. Step 2: Convert to fraction form
    123,047.70/184,657.95 = 52,977.30/x
  3. Step 3: Cross multiply
    123,047.70x = 184,657.95 × 52,977.30
  4. Step 4: Simplify right side
    123,047.70x = 9,782,679,614.54
  5. Step 5: Solve for x
    x = 9,782,679,614.54/123,047.70
  6. Step 6: Final answer
    x = 79,503.15

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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.