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Finding the Fourth Proportional to 34,681.50, 47,860.47 and 19,777.50

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Solution

The fourth proportional to 34,681.50, 47,860.47 and 19,777.50 is: 27,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,681.50 : 47,860.47 = 19,777.50 : x
  2. Step 2: Convert to fraction form
    34,681.50/47,860.47 = 19,777.50/x
  3. Step 3: Cross multiply
    34,681.50x = 47,860.47 × 19,777.50
  4. Step 4: Simplify right side
    34,681.50x = 946,560,445.43
  5. Step 5: Solve for x
    x = 946,560,445.43/34,681.50
  6. Step 6: Final answer
    x = 27,292.95

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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.