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Finding the Fourth Proportional to 70,537.10, 105,805.28 and 24,978.60

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Solution

The fourth proportional to 70,537.10, 105,805.28 and 24,978.60 is: 37,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537.10 : 105,805.28 = 24,978.60 : x
  2. Step 2: Convert to fraction form
    70,537.10/105,805.28 = 24,978.60/x
  3. Step 3: Cross multiply
    70,537.10x = 105,805.28 × 24,978.60
  4. Step 4: Simplify right side
    70,537.10x = 2,642,868,093.97
  5. Step 5: Solve for x
    x = 2,642,868,093.97/70,537.10
  6. Step 6: Final answer
    x = 37,467.77

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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.