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Finding the Fourth Proportional to 30,553.56, 42,154.72 and 19,781.40

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Solution

The fourth proportional to 30,553.56, 42,154.72 and 19,781.40 is: 27,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,553.56 : 42,154.72 = 19,781.40 : x
  2. Step 2: Convert to fraction form
    30,553.56/42,154.72 = 19,781.40/x
  3. Step 3: Cross multiply
    30,553.56x = 42,154.72 × 19,781.40
  4. Step 4: Simplify right side
    30,553.56x = 833,879,378.21
  5. Step 5: Solve for x
    x = 833,879,378.21/30,553.56
  6. Step 6: Final answer
    x = 27,292.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.