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Finding the Fourth Proportional to 98,553.56, 147,814.14 and 28,414.04

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Solution

The fourth proportional to 98,553.56, 147,814.14 and 28,414.04 is: 42,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,553.56 : 147,814.14 = 28,414.04 : x
  2. Step 2: Convert to fraction form
    98,553.56/147,814.14 = 28,414.04/x
  3. Step 3: Cross multiply
    98,553.56x = 147,814.14 × 28,414.04
  4. Step 4: Simplify right side
    98,553.56x = 4,199,996,886.53
  5. Step 5: Solve for x
    x = 4,199,996,886.53/98,553.56
  6. Step 6: Final answer
    x = 42,616.39

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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.