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Finding the Fourth Proportional to 51,536.48, 71,263.50 and 40,907.66

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Solution

The fourth proportional to 51,536.48, 71,263.50 and 40,907.66 is: 56,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,536.48 : 71,263.50 = 40,907.66 : x
  2. Step 2: Convert to fraction form
    51,536.48/71,263.50 = 40,907.66/x
  3. Step 3: Cross multiply
    51,536.48x = 71,263.50 × 40,907.66
  4. Step 4: Simplify right side
    51,536.48x = 2,915,223,028.41
  5. Step 5: Solve for x
    x = 2,915,223,028.41/51,536.48
  6. Step 6: Final answer
    x = 56,566.20

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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.