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Finding the Fourth Proportional to 30,065.30, 45,097.63 and 9,288.98

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Solution

The fourth proportional to 30,065.30, 45,097.63 and 9,288.98 is: 13,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065.30 : 45,097.63 = 9,288.98 : x
  2. Step 2: Convert to fraction form
    30,065.30/45,097.63 = 9,288.98/x
  3. Step 3: Cross multiply
    30,065.30x = 45,097.63 × 9,288.98
  4. Step 4: Simplify right side
    30,065.30x = 418,910,983.12
  5. Step 5: Solve for x
    x = 418,910,983.12/30,065.30
  6. Step 6: Final answer
    x = 13,933.37

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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.