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Finding the Fourth Proportional to 30,956.38, 42,712.72 and 17,525.77

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Solution

The fourth proportional to 30,956.38, 42,712.72 and 17,525.77 is: 24,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956.38 : 42,712.72 = 17,525.77 : x
  2. Step 2: Convert to fraction form
    30,956.38/42,712.72 = 17,525.77/x
  3. Step 3: Cross multiply
    30,956.38x = 42,712.72 × 17,525.77
  4. Step 4: Simplify right side
    30,956.38x = 748,573,156.20
  5. Step 5: Solve for x
    x = 748,573,156.20/30,956.38
  6. Step 6: Final answer
    x = 24,181.55

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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.