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Finding the Fourth Proportional to 34,964, 52,433.64 and 11,270.58

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Solution

The fourth proportional to 34,964, 52,433.64 and 11,270.58 is: 16,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,964 : 52,433.64 = 11,270.58 : x
  2. Step 2: Convert to fraction form
    34,964/52,433.64 = 11,270.58/x
  3. Step 3: Cross multiply
    34,964x = 52,433.64 × 11,270.58
  4. Step 4: Simplify right side
    34,964x = 590,957,534.31
  5. Step 5: Solve for x
    x = 590,957,534.31/34,964
  6. Step 6: Final answer
    x = 16,901.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.