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Finding the Fourth Proportional to 51,814.30, 71,503.73 and 29,458.30

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Solution

The fourth proportional to 51,814.30, 71,503.73 and 29,458.30 is: 40,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.30 : 71,503.73 = 29,458.30 : x
  2. Step 2: Convert to fraction form
    51,814.30/71,503.73 = 29,458.30/x
  3. Step 3: Cross multiply
    51,814.30x = 71,503.73 × 29,458.30
  4. Step 4: Simplify right side
    51,814.30x = 2,106,378,329.46
  5. Step 5: Solve for x
    x = 2,106,378,329.46/51,814.30
  6. Step 6: Final answer
    x = 40,652.45

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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.