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Finding the Fourth Proportional to 30,534.57, 45,804.75 and 9,474.84

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Solution

The fourth proportional to 30,534.57, 45,804.75 and 9,474.84 is: 14,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.57 : 45,804.75 = 9,474.84 : x
  2. Step 2: Convert to fraction form
    30,534.57/45,804.75 = 9,474.84/x
  3. Step 3: Cross multiply
    30,534.57x = 45,804.75 × 9,474.84
  4. Step 4: Simplify right side
    30,534.57x = 433,992,677.49
  5. Step 5: Solve for x
    x = 433,992,677.49/30,534.57
  6. Step 6: Final answer
    x = 14,213.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.