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Finding the Fourth Proportional to 42,206.76, 58,243.44 and 24,297.96

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Solution

The fourth proportional to 42,206.76, 58,243.44 and 24,297.96 is: 33,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,206.76 : 58,243.44 = 24,297.96 : x
  2. Step 2: Convert to fraction form
    42,206.76/58,243.44 = 24,297.96/x
  3. Step 3: Cross multiply
    42,206.76x = 58,243.44 × 24,297.96
  4. Step 4: Simplify right side
    42,206.76x = 1,415,196,775.38
  5. Step 5: Solve for x
    x = 1,415,196,775.38/42,206.76
  6. Step 6: Final answer
    x = 33,530.10

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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.