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Finding the Fourth Proportional to 30,783.81, 42,482.16 and 17,355.73

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Solution

The fourth proportional to 30,783.81, 42,482.16 and 17,355.73 is: 23,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.81 : 42,482.16 = 17,355.73 : x
  2. Step 2: Convert to fraction form
    30,783.81/42,482.16 = 17,355.73/x
  3. Step 3: Cross multiply
    30,783.81x = 42,482.16 × 17,355.73
  4. Step 4: Simplify right side
    30,783.81x = 737,308,812.00
  5. Step 5: Solve for x
    x = 737,308,812.00/30,783.81
  6. Step 6: Final answer
    x = 23,951.19

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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.