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Finding the Fourth Proportional to 30,740.73, 42,421.78 and 17,313.31

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Solution

The fourth proportional to 30,740.73, 42,421.78 and 17,313.31 is: 23,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.73 : 42,421.78 = 17,313.31 : x
  2. Step 2: Convert to fraction form
    30,740.73/42,421.78 = 17,313.31/x
  3. Step 3: Cross multiply
    30,740.73x = 42,421.78 × 17,313.31
  4. Step 4: Simplify right side
    30,740.73x = 734,461,427.89
  5. Step 5: Solve for x
    x = 734,461,427.89/30,740.73
  6. Step 6: Final answer
    x = 23,892.13

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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.