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Finding the Fourth Proportional to 34,050.08, 51,075.16 and 10,678.40

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Solution

The fourth proportional to 34,050.08, 51,075.16 and 10,678.40 is: 16,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050.08 : 51,075.16 = 10,678.40 : x
  2. Step 2: Convert to fraction form
    34,050.08/51,075.16 = 10,678.40/x
  3. Step 3: Cross multiply
    34,050.08x = 51,075.16 × 10,678.40
  4. Step 4: Simplify right side
    34,050.08x = 545,400,988.54
  5. Step 5: Solve for x
    x = 545,400,988.54/34,050.08
  6. Step 6: Final answer
    x = 16,017.61

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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.