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Finding the Fourth Proportional to 30,505.29, 42,091.74 and 17,582.55

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Solution

The fourth proportional to 30,505.29, 42,091.74 and 17,582.55 is: 24,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.29 : 42,091.74 = 17,582.55 : x
  2. Step 2: Convert to fraction form
    30,505.29/42,091.74 = 17,582.55/x
  3. Step 3: Cross multiply
    30,505.29x = 42,091.74 × 17,582.55
  4. Step 4: Simplify right side
    30,505.29x = 740,080,123.14
  5. Step 5: Solve for x
    x = 740,080,123.14/30,505.29
  6. Step 6: Final answer
    x = 24,260.71

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