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Finding the Fourth Proportional to 30,891.32, 42,629.56 and 17,462.12

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Solution

The fourth proportional to 30,891.32, 42,629.56 and 17,462.12 is: 24,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.32 : 42,629.56 = 17,462.12 : x
  2. Step 2: Convert to fraction form
    30,891.32/42,629.56 = 17,462.12/x
  3. Step 3: Cross multiply
    30,891.32x = 42,629.56 × 17,462.12
  4. Step 4: Simplify right side
    30,891.32x = 744,402,235.46
  5. Step 5: Solve for x
    x = 744,402,235.46/30,891.32
  6. Step 6: Final answer
    x = 24,097.45

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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.