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Finding the Fourth Proportional to 42,405.34, 58,524.02 and 24,257.77

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Solution

The fourth proportional to 42,405.34, 58,524.02 and 24,257.77 is: 33,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,405.34 : 58,524.02 = 24,257.77 : x
  2. Step 2: Convert to fraction form
    42,405.34/58,524.02 = 24,257.77/x
  3. Step 3: Cross multiply
    42,405.34x = 58,524.02 × 24,257.77
  4. Step 4: Simplify right side
    42,405.34x = 1,419,662,216.64
  5. Step 5: Solve for x
    x = 1,419,662,216.64/42,405.34
  6. Step 6: Final answer
    x = 33,478.38

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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.