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Finding the Fourth Proportional to 30,682.52, 42,341.14 and 20,071.92

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Solution

The fourth proportional to 30,682.52, 42,341.14 and 20,071.92 is: 27,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.52 : 42,341.14 = 20,071.92 : x
  2. Step 2: Convert to fraction form
    30,682.52/42,341.14 = 20,071.92/x
  3. Step 3: Cross multiply
    30,682.52x = 42,341.14 × 20,071.92
  4. Step 4: Simplify right side
    30,682.52x = 849,868,158.66
  5. Step 5: Solve for x
    x = 849,868,158.66/30,682.52
  6. Step 6: Final answer
    x = 27,698.77

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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.