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Finding the Fourth Proportional to 42,322.28, 58,374.42 and 27,965.48

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Solution

The fourth proportional to 42,322.28, 58,374.42 and 27,965.48 is: 38,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322.28 : 58,374.42 = 27,965.48 : x
  2. Step 2: Convert to fraction form
    42,322.28/58,374.42 = 27,965.48/x
  3. Step 3: Cross multiply
    42,322.28x = 58,374.42 × 27,965.48
  4. Step 4: Simplify right side
    42,322.28x = 1,632,468,675.02
  5. Step 5: Solve for x
    x = 1,632,468,675.02/42,322.28
  6. Step 6: Final answer
    x = 38,572.32

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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.