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Finding the Fourth Proportional to 34,007.58, 51,011.29 and 9,047.63

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Solution

The fourth proportional to 34,007.58, 51,011.29 and 9,047.63 is: 13,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,007.58 : 51,011.29 = 9,047.63 : x
  2. Step 2: Convert to fraction form
    34,007.58/51,011.29 = 9,047.63/x
  3. Step 3: Cross multiply
    34,007.58x = 51,011.29 × 9,047.63
  4. Step 4: Simplify right side
    34,007.58x = 461,531,277.74
  5. Step 5: Solve for x
    x = 461,531,277.74/34,007.58
  6. Step 6: Final answer
    x = 13,571.42

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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.