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Finding the Fourth Proportional to 124,533, 186,801.12 and 41,427

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Solution

The fourth proportional to 124,533, 186,801.12 and 41,427 is: 62,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,533 : 186,801.12 = 41,427 : x
  2. Step 2: Convert to fraction form
    124,533/186,801.12 = 41,427/x
  3. Step 3: Cross multiply
    124,533x = 186,801.12 × 41,427
  4. Step 4: Simplify right side
    124,533x = 7,738,609,998.24
  5. Step 5: Solve for x
    x = 7,738,609,998.24/124,533
  6. Step 6: Final answer
    x = 62,141.04

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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.