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Finding the Fourth Proportional to 34,097.34, 47,053.66 and 23,341.94

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Solution

The fourth proportional to 34,097.34, 47,053.66 and 23,341.94 is: 32,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.34 : 47,053.66 = 23,341.94 : x
  2. Step 2: Convert to fraction form
    34,097.34/47,053.66 = 23,341.94/x
  3. Step 3: Cross multiply
    34,097.34x = 47,053.66 × 23,341.94
  4. Step 4: Simplify right side
    34,097.34x = 1,098,323,905.87
  5. Step 5: Solve for x
    x = 1,098,323,905.87/34,097.34
  6. Step 6: Final answer
    x = 32,211.43

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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.