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Finding the Fourth Proportional to 42,414, 58,533.75 and 23,552.34

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Solution

The fourth proportional to 42,414, 58,533.75 and 23,552.34 is: 32,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414 : 58,533.75 = 23,552.34 : x
  2. Step 2: Convert to fraction form
    42,414/58,533.75 = 23,552.34/x
  3. Step 3: Cross multiply
    42,414x = 58,533.75 × 23,552.34
  4. Step 4: Simplify right side
    42,414x = 1,378,606,781.48
  5. Step 5: Solve for x
    x = 1,378,606,781.48/42,414
  6. Step 6: Final answer
    x = 32,503.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.