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Finding the Fourth Proportional to 51,536.71, 71,089.23 and 34,073.98

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Solution

The fourth proportional to 51,536.71, 71,089.23 and 34,073.98 is: 47,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,536.71 : 71,089.23 = 34,073.98 : x
  2. Step 2: Convert to fraction form
    51,536.71/71,089.23 = 34,073.98/x
  3. Step 3: Cross multiply
    51,536.71x = 71,089.23 × 34,073.98
  4. Step 4: Simplify right side
    51,536.71x = 2,422,292,475.42
  5. Step 5: Solve for x
    x = 2,422,292,475.42/51,536.71
  6. Step 6: Final answer
    x = 47,001.30

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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.