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Finding the Fourth Proportional to 124,544, 186,817.64 and 41,438

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Solution

The fourth proportional to 124,544, 186,817.64 and 41,438 is: 62,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,544 : 186,817.64 = 41,438 : x
  2. Step 2: Convert to fraction form
    124,544/186,817.64 = 41,438/x
  3. Step 3: Cross multiply
    124,544x = 186,817.64 × 41,438
  4. Step 4: Simplify right side
    124,544x = 7,741,349,366.32
  5. Step 5: Solve for x
    x = 7,741,349,366.32/124,544
  6. Step 6: Final answer
    x = 62,157.55

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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.