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Finding the Fourth Proportional to 42,355.60, 58,449.60 and 24,450

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Solution

The fourth proportional to 42,355.60, 58,449.60 and 24,450 is: 33,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,355.60 : 58,449.60 = 24,450 : x
  2. Step 2: Convert to fraction form
    42,355.60/58,449.60 = 24,450/x
  3. Step 3: Cross multiply
    42,355.60x = 58,449.60 × 24,450
  4. Step 4: Simplify right side
    42,355.60x = 1,429,092,720
  5. Step 5: Solve for x
    x = 1,429,092,720/42,355.60
  6. Step 6: Final answer
    x = 33,740.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.