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Finding the Fourth Proportional to 51,830.98, 71,536.54 and 32,458.89

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Solution

The fourth proportional to 51,830.98, 71,536.54 and 32,458.89 is: 44,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,830.98 : 71,536.54 = 32,458.89 : x
  2. Step 2: Convert to fraction form
    51,830.98/71,536.54 = 32,458.89/x
  3. Step 3: Cross multiply
    51,830.98x = 71,536.54 × 32,458.89
  4. Step 4: Simplify right side
    51,830.98x = 2,321,996,601.69
  5. Step 5: Solve for x
    x = 2,321,996,601.69/51,830.98
  6. Step 6: Final answer
    x = 44,799.40

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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.