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Finding the Fourth Proportional to 38,050.52, 57,075.15 and 11,752.16

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Solution

The fourth proportional to 38,050.52, 57,075.15 and 11,752.16 is: 17,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,050.52 : 57,075.15 = 11,752.16 : x
  2. Step 2: Convert to fraction form
    38,050.52/57,075.15 = 11,752.16/x
  3. Step 3: Cross multiply
    38,050.52x = 57,075.15 × 11,752.16
  4. Step 4: Simplify right side
    38,050.52x = 670,756,294.82
  5. Step 5: Solve for x
    x = 670,756,294.82/38,050.52
  6. Step 6: Final answer
    x = 17,628.05

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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.