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Finding the Fourth Proportional to 30,780.47, 42,474.50 and 17,355.02

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Solution

The fourth proportional to 30,780.47, 42,474.50 and 17,355.02 is: 23,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.47 : 42,474.50 = 17,355.02 : x
  2. Step 2: Convert to fraction form
    30,780.47/42,474.50 = 17,355.02/x
  3. Step 3: Cross multiply
    30,780.47x = 42,474.50 × 17,355.02
  4. Step 4: Simplify right side
    30,780.47x = 737,145,796.99
  5. Step 5: Solve for x
    x = 737,145,796.99/30,780.47
  6. Step 6: Final answer
    x = 23,948.49

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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.