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Finding the Fourth Proportional to 30,381.60, 41,956.61 and 19,777.38

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Solution

The fourth proportional to 30,381.60, 41,956.61 and 19,777.38 is: 27,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.60 : 41,956.61 = 19,777.38 : x
  2. Step 2: Convert to fraction form
    30,381.60/41,956.61 = 19,777.38/x
  3. Step 3: Cross multiply
    30,381.60x = 41,956.61 × 19,777.38
  4. Step 4: Simplify right side
    30,381.60x = 829,791,819.48
  5. Step 5: Solve for x
    x = 829,791,819.48/30,381.60
  6. Step 6: Final answer
    x = 27,312.31

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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.