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Finding the Fourth Proportional to 30,497.76, 42,090.66 and 18,562.32

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Solution

The fourth proportional to 30,497.76, 42,090.66 and 18,562.32 is: 25,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.76 : 42,090.66 = 18,562.32 : x
  2. Step 2: Convert to fraction form
    30,497.76/42,090.66 = 18,562.32/x
  3. Step 3: Cross multiply
    30,497.76x = 42,090.66 × 18,562.32
  4. Step 4: Simplify right side
    30,497.76x = 781,300,299.93
  5. Step 5: Solve for x
    x = 781,300,299.93/30,497.76
  6. Step 6: Final answer
    x = 25,618.28

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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.