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Finding the Fourth Proportional to 30,613.66, 45,876.68 and 17,438.81

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Solution

The fourth proportional to 30,613.66, 45,876.68 and 17,438.81 is: 26,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.66 : 45,876.68 = 17,438.81 : x
  2. Step 2: Convert to fraction form
    30,613.66/45,876.68 = 17,438.81/x
  3. Step 3: Cross multiply
    30,613.66x = 45,876.68 × 17,438.81
  4. Step 4: Simplify right side
    30,613.66x = 800,034,618.76
  5. Step 5: Solve for x
    x = 800,034,618.76/30,613.66
  6. Step 6: Final answer
    x = 26,133.26

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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.