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Finding the Fourth Proportional to 30,467.13, 42,046.78 and 17,039.63

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Solution

The fourth proportional to 30,467.13, 42,046.78 and 17,039.63 is: 23,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,467.13 : 42,046.78 = 17,039.63 : x
  2. Step 2: Convert to fraction form
    30,467.13/42,046.78 = 17,039.63/x
  3. Step 3: Cross multiply
    30,467.13x = 42,046.78 × 17,039.63
  4. Step 4: Simplify right side
    30,467.13x = 716,461,828.94
  5. Step 5: Solve for x
    x = 716,461,828.94/30,467.13
  6. Step 6: Final answer
    x = 23,515.89

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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.