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Finding the Fourth Proportional to 30,419.16, 45,616.50 and 11,699.88

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Solution

The fourth proportional to 30,419.16, 45,616.50 and 11,699.88 is: 17,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.16 : 45,616.50 = 11,699.88 : x
  2. Step 2: Convert to fraction form
    30,419.16/45,616.50 = 11,699.88/x
  3. Step 3: Cross multiply
    30,419.16x = 45,616.50 × 11,699.88
  4. Step 4: Simplify right side
    30,419.16x = 533,707,576.02
  5. Step 5: Solve for x
    x = 533,707,576.02/30,419.16
  6. Step 6: Final answer
    x = 17,545.11

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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.