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Finding the Fourth Proportional to 30,046.12, 41,466.12 and 17,470

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Solution

The fourth proportional to 30,046.12, 41,466.12 and 17,470 is: 24,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,046.12 : 41,466.12 = 17,470 : x
  2. Step 2: Convert to fraction form
    30,046.12/41,466.12 = 17,470/x
  3. Step 3: Cross multiply
    30,046.12x = 41,466.12 × 17,470
  4. Step 4: Simplify right side
    30,046.12x = 724,413,116.40
  5. Step 5: Solve for x
    x = 724,413,116.40/30,046.12
  6. Step 6: Final answer
    x = 24,110.04

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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.