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Finding the Fourth Proportional to 30,117.90, 41,569.66 and 20,046.76

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Solution

The fourth proportional to 30,117.90, 41,569.66 and 20,046.76 is: 27,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117.90 : 41,569.66 = 20,046.76 : x
  2. Step 2: Convert to fraction form
    30,117.90/41,569.66 = 20,046.76/x
  3. Step 3: Cross multiply
    30,117.90x = 41,569.66 × 20,046.76
  4. Step 4: Simplify right side
    30,117.90x = 833,336,997.30
  5. Step 5: Solve for x
    x = 833,336,997.30/30,117.90
  6. Step 6: Final answer
    x = 27,669.16

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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.