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Finding the Fourth Proportional to 30,031.79, 41,447.99 and 17,284.71

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Solution

The fourth proportional to 30,031.79, 41,447.99 and 17,284.71 is: 23,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,031.79 : 41,447.99 = 17,284.71 : x
  2. Step 2: Convert to fraction form
    30,031.79/41,447.99 = 17,284.71/x
  3. Step 3: Cross multiply
    30,031.79x = 41,447.99 × 17,284.71
  4. Step 4: Simplify right side
    30,031.79x = 716,416,400.81
  5. Step 5: Solve for x
    x = 716,416,400.81/30,031.79
  6. Step 6: Final answer
    x = 23,855.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.