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Finding the Fourth Proportional to 42,364.56, 58,463.10 and 26,448.96

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Solution

The fourth proportional to 42,364.56, 58,463.10 and 26,448.96 is: 36,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,364.56 : 58,463.10 = 26,448.96 : x
  2. Step 2: Convert to fraction form
    42,364.56/58,463.10 = 26,448.96/x
  3. Step 3: Cross multiply
    42,364.56x = 58,463.10 × 26,448.96
  4. Step 4: Simplify right side
    42,364.56x = 1,546,288,193.38
  5. Step 5: Solve for x
    x = 1,546,288,193.38/42,364.56
  6. Step 6: Final answer
    x = 36,499.57

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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.