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Finding the Fourth Proportional to 102,636.36, 153,976.14 and 38,594.88

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Solution

The fourth proportional to 102,636.36, 153,976.14 and 38,594.88 is: 57,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,636.36 : 153,976.14 = 38,594.88 : x
  2. Step 2: Convert to fraction form
    102,636.36/153,976.14 = 38,594.88/x
  3. Step 3: Cross multiply
    102,636.36x = 153,976.14 × 38,594.88
  4. Step 4: Simplify right side
    102,636.36x = 5,942,690,646.16
  5. Step 5: Solve for x
    x = 5,942,690,646.16/102,636.36
  6. Step 6: Final answer
    x = 57,900.44

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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.