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Finding the Fourth Proportional to 30,538.49, 45,805.56 and 9,478.01

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Solution

The fourth proportional to 30,538.49, 45,805.56 and 9,478.01 is: 14,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.49 : 45,805.56 = 9,478.01 : x
  2. Step 2: Convert to fraction form
    30,538.49/45,805.56 = 9,478.01/x
  3. Step 3: Cross multiply
    30,538.49x = 45,805.56 × 9,478.01
  4. Step 4: Simplify right side
    30,538.49x = 434,145,634.71
  5. Step 5: Solve for x
    x = 434,145,634.71/30,538.49
  6. Step 6: Final answer
    x = 14,216.34

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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.