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Finding the Fourth Proportional to 30,842.78, 42,552.64 and 20,082.74

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Solution

The fourth proportional to 30,842.78, 42,552.64 and 20,082.74 is: 27,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.78 : 42,552.64 = 20,082.74 : x
  2. Step 2: Convert to fraction form
    30,842.78/42,552.64 = 20,082.74/x
  3. Step 3: Cross multiply
    30,842.78x = 42,552.64 × 20,082.74
  4. Step 4: Simplify right side
    30,842.78x = 854,573,417.77
  5. Step 5: Solve for x
    x = 854,573,417.77/30,842.78
  6. Step 6: Final answer
    x = 27,707.41

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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.