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Finding the Fourth Proportional to 42,302.66, 58,383.79 and 24,394.10

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Solution

The fourth proportional to 42,302.66, 58,383.79 and 24,394.10 is: 33,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,302.66 : 58,383.79 = 24,394.10 : x
  2. Step 2: Convert to fraction form
    42,302.66/58,383.79 = 24,394.10/x
  3. Step 3: Cross multiply
    42,302.66x = 58,383.79 × 24,394.10
  4. Step 4: Simplify right side
    42,302.66x = 1,424,219,889.67
  5. Step 5: Solve for x
    x = 1,424,219,889.67/42,302.66
  6. Step 6: Final answer
    x = 33,667.38

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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.