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Finding the Fourth Proportional to 34,298.67, 47,310.98 and 23,538.63

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Solution

The fourth proportional to 34,298.67, 47,310.98 and 23,538.63 is: 32,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,298.67 : 47,310.98 = 23,538.63 : x
  2. Step 2: Convert to fraction form
    34,298.67/47,310.98 = 23,538.63/x
  3. Step 3: Cross multiply
    34,298.67x = 47,310.98 × 23,538.63
  4. Step 4: Simplify right side
    34,298.67x = 1,113,635,535.46
  5. Step 5: Solve for x
    x = 1,113,635,535.46/34,298.67
  6. Step 6: Final answer
    x = 32,468.77

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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.