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Finding the Fourth Proportional to 42,202.80, 58,247.04 and 24,308.16

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Solution

The fourth proportional to 42,202.80, 58,247.04 and 24,308.16 is: 33,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,202.80 : 58,247.04 = 24,308.16 : x
  2. Step 2: Convert to fraction form
    42,202.80/58,247.04 = 24,308.16/x
  3. Step 3: Cross multiply
    42,202.80x = 58,247.04 × 24,308.16
  4. Step 4: Simplify right side
    42,202.80x = 1,415,878,367.85
  5. Step 5: Solve for x
    x = 1,415,878,367.85/42,202.80
  6. Step 6: Final answer
    x = 33,549.39

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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.