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Finding the Fourth Proportional to 28,114.56, 42,180.48 and 9,648

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Solution

The fourth proportional to 28,114.56, 42,180.48 and 9,648 is: 14,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,114.56 : 42,180.48 = 9,648 : x
  2. Step 2: Convert to fraction form
    28,114.56/42,180.48 = 9,648/x
  3. Step 3: Cross multiply
    28,114.56x = 42,180.48 × 9,648
  4. Step 4: Simplify right side
    28,114.56x = 406,957,271.04
  5. Step 5: Solve for x
    x = 406,957,271.04/28,114.56
  6. Step 6: Final answer
    x = 14,474.96

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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.