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Finding the Fourth Proportional to 42,398.34, 58,507.38 and 23,534.34

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Solution

The fourth proportional to 42,398.34, 58,507.38 and 23,534.34 is: 32,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,398.34 : 58,507.38 = 23,534.34 : x
  2. Step 2: Convert to fraction form
    42,398.34/58,507.38 = 23,534.34/x
  3. Step 3: Cross multiply
    42,398.34x = 58,507.38 × 23,534.34
  4. Step 4: Simplify right side
    42,398.34x = 1,376,932,573.43
  5. Step 5: Solve for x
    x = 1,376,932,573.43/42,398.34
  6. Step 6: Final answer
    x = 32,476.10

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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.