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Finding the Fourth Proportional to 42,325.57, 58,409.81 and 24,424.30

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Solution

The fourth proportional to 42,325.57, 58,409.81 and 24,424.30 is: 33,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,325.57 : 58,409.81 = 24,424.30 : x
  2. Step 2: Convert to fraction form
    42,325.57/58,409.81 = 24,424.30/x
  3. Step 3: Cross multiply
    42,325.57x = 58,409.81 × 24,424.30
  4. Step 4: Simplify right side
    42,325.57x = 1,426,618,722.38
  5. Step 5: Solve for x
    x = 1,426,618,722.38/42,325.57
  6. Step 6: Final answer
    x = 33,705.84

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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.