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Finding the Fourth Proportional to 28,543.20, 42,814.80 and 10,075.20

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Solution

The fourth proportional to 28,543.20, 42,814.80 and 10,075.20 is: 15,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,543.20 : 42,814.80 = 10,075.20 : x
  2. Step 2: Convert to fraction form
    28,543.20/42,814.80 = 10,075.20/x
  3. Step 3: Cross multiply
    28,543.20x = 42,814.80 × 10,075.20
  4. Step 4: Simplify right side
    28,543.20x = 431,367,672.96
  5. Step 5: Solve for x
    x = 431,367,672.96/28,543.20
  6. Step 6: Final answer
    x = 15,112.80

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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.