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Finding the Fourth Proportional to 42,398.36, 58,506.81 and 23,534

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Solution

The fourth proportional to 42,398.36, 58,506.81 and 23,534 is: 32,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,398.36 : 58,506.81 = 23,534 : x
  2. Step 2: Convert to fraction form
    42,398.36/58,506.81 = 23,534/x
  3. Step 3: Cross multiply
    42,398.36x = 58,506.81 × 23,534
  4. Step 4: Simplify right side
    42,398.36x = 1,376,899,266.54
  5. Step 5: Solve for x
    x = 1,376,899,266.54/42,398.36
  6. Step 6: Final answer
    x = 32,475.30

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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.