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Finding the Fourth Proportional to 38,473.04, 57,716.58 and 17,696

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Solution

The fourth proportional to 38,473.04, 57,716.58 and 17,696 is: 26,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473.04 : 57,716.58 = 17,696 : x
  2. Step 2: Convert to fraction form
    38,473.04/57,716.58 = 17,696/x
  3. Step 3: Cross multiply
    38,473.04x = 57,716.58 × 17,696
  4. Step 4: Simplify right side
    38,473.04x = 1,021,352,599.68
  5. Step 5: Solve for x
    x = 1,021,352,599.68/38,473.04
  6. Step 6: Final answer
    x = 26,547.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.