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Finding the Fourth Proportional to 38,013.81, 52,457.52 and 22,097

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Solution

The fourth proportional to 38,013.81, 52,457.52 and 22,097 is: 30,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.81 : 52,457.52 = 22,097 : x
  2. Step 2: Convert to fraction form
    38,013.81/52,457.52 = 22,097/x
  3. Step 3: Cross multiply
    38,013.81x = 52,457.52 × 22,097
  4. Step 4: Simplify right side
    38,013.81x = 1,159,153,819.44
  5. Step 5: Solve for x
    x = 1,159,153,819.44/38,013.81
  6. Step 6: Final answer
    x = 30,492.97

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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.