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Finding the Fourth Proportional to 42,322, 58,404.36 and 23,462

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Solution

The fourth proportional to 42,322, 58,404.36 and 23,462 is: 32,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322 : 58,404.36 = 23,462 : x
  2. Step 2: Convert to fraction form
    42,322/58,404.36 = 23,462/x
  3. Step 3: Cross multiply
    42,322x = 58,404.36 × 23,462
  4. Step 4: Simplify right side
    42,322x = 1,370,283,094.32
  5. Step 5: Solve for x
    x = 1,370,283,094.32/42,322
  6. Step 6: Final answer
    x = 32,377.56

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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.