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Finding the Fourth Proportional to 34,755.84, 47,905.92 and 28,457.28

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Solution

The fourth proportional to 34,755.84, 47,905.92 and 28,457.28 is: 39,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,755.84 : 47,905.92 = 28,457.28 : x
  2. Step 2: Convert to fraction form
    34,755.84/47,905.92 = 28,457.28/x
  3. Step 3: Cross multiply
    34,755.84x = 47,905.92 × 28,457.28
  4. Step 4: Simplify right side
    34,755.84x = 1,363,272,179.10
  5. Step 5: Solve for x
    x = 1,363,272,179.10/34,755.84
  6. Step 6: Final answer
    x = 39,224.26

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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.