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Finding the Fourth Proportional to 34,059.74, 51,075.03 and 10,688.00

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Solution

The fourth proportional to 34,059.74, 51,075.03 and 10,688.00 is: 16,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,059.74 : 51,075.03 = 10,688.00 : x
  2. Step 2: Convert to fraction form
    34,059.74/51,075.03 = 10,688.00/x
  3. Step 3: Cross multiply
    34,059.74x = 51,075.03 × 10,688.00
  4. Step 4: Simplify right side
    34,059.74x = 545,889,739.51
  5. Step 5: Solve for x
    x = 545,889,739.51/34,059.74
  6. Step 6: Final answer
    x = 16,027.42

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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.