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Finding the Fourth Proportional to 42,477.84, 58,612.52 and 23,614.48

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Solution

The fourth proportional to 42,477.84, 58,612.52 and 23,614.48 is: 32,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477.84 : 58,612.52 = 23,614.48 : x
  2. Step 2: Convert to fraction form
    42,477.84/58,612.52 = 23,614.48/x
  3. Step 3: Cross multiply
    42,477.84x = 58,612.52 × 23,614.48
  4. Step 4: Simplify right side
    42,477.84x = 1,384,104,181.29
  5. Step 5: Solve for x
    x = 1,384,104,181.29/42,477.84
  6. Step 6: Final answer
    x = 32,584.15

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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.