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Finding the Fourth Proportional to 42,954.38, 59,302.96 and 28,076.30

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Solution

The fourth proportional to 42,954.38, 59,302.96 and 28,076.30 is: 38,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954.38 : 59,302.96 = 28,076.30 : x
  2. Step 2: Convert to fraction form
    42,954.38/59,302.96 = 28,076.30/x
  3. Step 3: Cross multiply
    42,954.38x = 59,302.96 × 28,076.30
  4. Step 4: Simplify right side
    42,954.38x = 1,665,007,329.14
  5. Step 5: Solve for x
    x = 1,665,007,329.14/42,954.38
  6. Step 6: Final answer
    x = 38,762.23

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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.