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Finding the Fourth Proportional to 28,090.50, 42,142.68 and 8,368.98

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Solution

The fourth proportional to 28,090.50, 42,142.68 and 8,368.98 is: 12,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,090.50 : 42,142.68 = 8,368.98 : x
  2. Step 2: Convert to fraction form
    28,090.50/42,142.68 = 8,368.98/x
  3. Step 3: Cross multiply
    28,090.50x = 42,142.68 × 8,368.98
  4. Step 4: Simplify right side
    28,090.50x = 352,691,246.07
  5. Step 5: Solve for x
    x = 352,691,246.07/28,090.50
  6. Step 6: Final answer
    x = 12,555.53

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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.