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Finding the Fourth Proportional to 124,821, 187,231.50 and 41,715

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Solution

The fourth proportional to 124,821, 187,231.50 and 41,715 is: 62,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,821 : 187,231.50 = 41,715 : x
  2. Step 2: Convert to fraction form
    124,821/187,231.50 = 41,715/x
  3. Step 3: Cross multiply
    124,821x = 187,231.50 × 41,715
  4. Step 4: Simplify right side
    124,821x = 7,810,362,022.50
  5. Step 5: Solve for x
    x = 7,810,362,022.50/124,821
  6. Step 6: Final answer
    x = 62,572.50

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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.