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Finding the Fourth Proportional to 123,774.70, 185,652.83 and 39,543.77

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Solution

The fourth proportional to 123,774.70, 185,652.83 and 39,543.77 is: 59,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,774.70 : 185,652.83 = 39,543.77 : x
  2. Step 2: Convert to fraction form
    123,774.70/185,652.83 = 39,543.77/x
  3. Step 3: Cross multiply
    123,774.70x = 185,652.83 × 39,543.77
  4. Step 4: Simplify right side
    123,774.70x = 7,341,412,809.37
  5. Step 5: Solve for x
    x = 7,341,412,809.37/123,774.70
  6. Step 6: Final answer
    x = 59,312.71

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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.