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Finding the Fourth Proportional to 34,518.47, 51,777.82 and 10,503

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Solution

The fourth proportional to 34,518.47, 51,777.82 and 10,503 is: 15,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,518.47 : 51,777.82 = 10,503 : x
  2. Step 2: Convert to fraction form
    34,518.47/51,777.82 = 10,503/x
  3. Step 3: Cross multiply
    34,518.47x = 51,777.82 × 10,503
  4. Step 4: Simplify right side
    34,518.47x = 543,822,417.20
  5. Step 5: Solve for x
    x = 543,822,417.20/34,518.47
  6. Step 6: Final answer
    x = 15,754.54

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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.