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Finding the Fourth Proportional to 124,536, 186,805.62 and 41,430

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Solution

The fourth proportional to 124,536, 186,805.62 and 41,430 is: 62,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,536 : 186,805.62 = 41,430 : x
  2. Step 2: Convert to fraction form
    124,536/186,805.62 = 41,430/x
  3. Step 3: Cross multiply
    124,536x = 186,805.62 × 41,430
  4. Step 4: Simplify right side
    124,536x = 7,739,356,836.60
  5. Step 5: Solve for x
    x = 7,739,356,836.60/124,536
  6. Step 6: Final answer
    x = 62,145.54

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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.