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Finding the Fourth Proportional to 30,635.67, 45,960.19 and 9,577.29

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Solution

The fourth proportional to 30,635.67, 45,960.19 and 9,577.29 is: 14,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.67 : 45,960.19 = 9,577.29 : x
  2. Step 2: Convert to fraction form
    30,635.67/45,960.19 = 9,577.29/x
  3. Step 3: Cross multiply
    30,635.67x = 45,960.19 × 9,577.29
  4. Step 4: Simplify right side
    30,635.67x = 440,174,068.09
  5. Step 5: Solve for x
    x = 440,174,068.09/30,635.67
  6. Step 6: Final answer
    x = 14,368.02

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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.