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Finding the Fourth Proportional to 28,114.80, 42,172.65 and 7,338.30

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Solution

The fourth proportional to 28,114.80, 42,172.65 and 7,338.30 is: 11,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114.80 : 42,172.65 = 7,338.30 : x
  2. Step 2: Convert to fraction form
    28,114.80/42,172.65 = 7,338.30/x
  3. Step 3: Cross multiply
    28,114.80x = 42,172.65 × 7,338.30
  4. Step 4: Simplify right side
    28,114.80x = 309,475,557.50
  5. Step 5: Solve for x
    x = 309,475,557.50/28,114.80
  6. Step 6: Final answer
    x = 11,007.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.