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Finding the Fourth Proportional to 42,157.16, 58,189.02 and 27,827.44

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Solution

The fourth proportional to 42,157.16, 58,189.02 and 27,827.44 is: 38,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,157.16 : 58,189.02 = 27,827.44 : x
  2. Step 2: Convert to fraction form
    42,157.16/58,189.02 = 27,827.44/x
  3. Step 3: Cross multiply
    42,157.16x = 58,189.02 × 27,827.44
  4. Step 4: Simplify right side
    42,157.16x = 1,619,251,462.71
  5. Step 5: Solve for x
    x = 1,619,251,462.71/42,157.16
  6. Step 6: Final answer
    x = 38,409.88

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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.