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Finding the Fourth Proportional to 30,914.76, 42,661.80 and 17,485.56

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Solution

The fourth proportional to 30,914.76, 42,661.80 and 17,485.56 is: 24,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.76 : 42,661.80 = 17,485.56 : x
  2. Step 2: Convert to fraction form
    30,914.76/42,661.80 = 17,485.56/x
  3. Step 3: Cross multiply
    30,914.76x = 42,661.80 × 17,485.56
  4. Step 4: Simplify right side
    30,914.76x = 745,965,463.61
  5. Step 5: Solve for x
    x = 745,965,463.61/30,914.76
  6. Step 6: Final answer
    x = 24,129.75

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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.