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Finding the Fourth Proportional to 42,801.50, 59,066.27 and 23,938.63

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Solution

The fourth proportional to 42,801.50, 59,066.27 and 23,938.63 is: 33,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,801.50 : 59,066.27 = 23,938.63 : x
  2. Step 2: Convert to fraction form
    42,801.50/59,066.27 = 23,938.63/x
  3. Step 3: Cross multiply
    42,801.50x = 59,066.27 × 23,938.63
  4. Step 4: Simplify right side
    42,801.50x = 1,413,965,583.01
  5. Step 5: Solve for x
    x = 1,413,965,583.01/42,801.50
  6. Step 6: Final answer
    x = 33,035.42

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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.