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Finding the Fourth Proportional to 42,384.36, 58,476.90 and 24,477

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Solution

The fourth proportional to 42,384.36, 58,476.90 and 24,477 is: 33,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384.36 : 58,476.90 = 24,477 : x
  2. Step 2: Convert to fraction form
    42,384.36/58,476.90 = 24,477/x
  3. Step 3: Cross multiply
    42,384.36x = 58,476.90 × 24,477
  4. Step 4: Simplify right side
    42,384.36x = 1,431,339,081.30
  5. Step 5: Solve for x
    x = 1,431,339,081.30/42,384.36
  6. Step 6: Final answer
    x = 33,770.45

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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.