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Finding the Fourth Proportional to 30,459.10, 45,679.89 and 11,737.66

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Solution

The fourth proportional to 30,459.10, 45,679.89 and 11,737.66 is: 17,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.10 : 45,679.89 = 11,737.66 : x
  2. Step 2: Convert to fraction form
    30,459.10/45,679.89 = 11,737.66/x
  3. Step 3: Cross multiply
    30,459.10x = 45,679.89 × 11,737.66
  4. Step 4: Simplify right side
    30,459.10x = 536,175,017.66
  5. Step 5: Solve for x
    x = 536,175,017.66/30,459.10
  6. Step 6: Final answer
    x = 17,603.11

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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.