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Finding the Fourth Proportional to 42,486.78, 58,623 and 24,575.28

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Solution

The fourth proportional to 42,486.78, 58,623 and 24,575.28 is: 33,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,486.78 : 58,623 = 24,575.28 : x
  2. Step 2: Convert to fraction form
    42,486.78/58,623 = 24,575.28/x
  3. Step 3: Cross multiply
    42,486.78x = 58,623 × 24,575.28
  4. Step 4: Simplify right side
    42,486.78x = 1,440,676,639.44
  5. Step 5: Solve for x
    x = 1,440,676,639.44/42,486.78
  6. Step 6: Final answer
    x = 33,908.82

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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.