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Finding the Fourth Proportional to 42,321, 58,415.82 and 24,427.68

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Solution

The fourth proportional to 42,321, 58,415.82 and 24,427.68 is: 33,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,321 : 58,415.82 = 24,427.68 : x
  2. Step 2: Convert to fraction form
    42,321/58,415.82 = 24,427.68/x
  3. Step 3: Cross multiply
    42,321x = 58,415.82 × 24,427.68
  4. Step 4: Simplify right side
    42,321x = 1,426,962,957.90
  5. Step 5: Solve for x
    x = 1,426,962,957.90/42,321
  6. Step 6: Final answer
    x = 33,717.61

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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.