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Finding the Fourth Proportional to 30,694.16, 42,317.16 and 20,065.52

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Solution

The fourth proportional to 30,694.16, 42,317.16 and 20,065.52 is: 27,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.16 : 42,317.16 = 20,065.52 : x
  2. Step 2: Convert to fraction form
    30,694.16/42,317.16 = 20,065.52/x
  3. Step 3: Cross multiply
    30,694.16x = 42,317.16 × 20,065.52
  4. Step 4: Simplify right side
    30,694.16x = 849,115,820.32
  5. Step 5: Solve for x
    x = 849,115,820.32/30,694.16
  6. Step 6: Final answer
    x = 27,663.76

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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.