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Finding the Fourth Proportional to 30,431.25, 45,616.10 and 14,613.17

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Solution

The fourth proportional to 30,431.25, 45,616.10 and 14,613.17 is: 21,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.25 : 45,616.10 = 14,613.17 : x
  2. Step 2: Convert to fraction form
    30,431.25/45,616.10 = 14,613.17/x
  3. Step 3: Cross multiply
    30,431.25x = 45,616.10 × 14,613.17
  4. Step 4: Simplify right side
    30,431.25x = 666,595,522.89
  5. Step 5: Solve for x
    x = 666,595,522.89/30,431.25
  6. Step 6: Final answer
    x = 21,904.97

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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.