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Finding the Fourth Proportional to 42,769.79, 59,019.74 and 23,648.42

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Solution

The fourth proportional to 42,769.79, 59,019.74 and 23,648.42 is: 32,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,769.79 : 59,019.74 = 23,648.42 : x
  2. Step 2: Convert to fraction form
    42,769.79/59,019.74 = 23,648.42/x
  3. Step 3: Cross multiply
    42,769.79x = 59,019.74 × 23,648.42
  4. Step 4: Simplify right side
    42,769.79x = 1,395,723,304.71
  5. Step 5: Solve for x
    x = 1,395,723,304.71/42,769.79
  6. Step 6: Final answer
    x = 32,633.39

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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.