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Finding the Fourth Proportional to 124,015, 186,022.50 and 36,463

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Solution

The fourth proportional to 124,015, 186,022.50 and 36,463 is: 54,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,015 : 186,022.50 = 36,463 : x
  2. Step 2: Convert to fraction form
    124,015/186,022.50 = 36,463/x
  3. Step 3: Cross multiply
    124,015x = 186,022.50 × 36,463
  4. Step 4: Simplify right side
    124,015x = 6,782,938,417.50
  5. Step 5: Solve for x
    x = 6,782,938,417.50/124,015
  6. Step 6: Final answer
    x = 54,694.50

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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.