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Finding the Fourth Proportional to 30,971.73, 42,740.01 and 17,544.23

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Solution

The fourth proportional to 30,971.73, 42,740.01 and 17,544.23 is: 24,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.73 : 42,740.01 = 17,544.23 : x
  2. Step 2: Convert to fraction form
    30,971.73/42,740.01 = 17,544.23/x
  3. Step 3: Cross multiply
    30,971.73x = 42,740.01 × 17,544.23
  4. Step 4: Simplify right side
    30,971.73x = 749,840,565.64
  5. Step 5: Solve for x
    x = 749,840,565.64/30,971.73
  6. Step 6: Final answer
    x = 24,210.48

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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.