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Finding the Fourth Proportional to 30,853.17, 46,270.17 and 11,129.16

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Solution

The fourth proportional to 30,853.17, 46,270.17 and 11,129.16 is: 16,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.17 : 46,270.17 = 11,129.16 : x
  2. Step 2: Convert to fraction form
    30,853.17/46,270.17 = 11,129.16/x
  3. Step 3: Cross multiply
    30,853.17x = 46,270.17 × 11,129.16
  4. Step 4: Simplify right side
    30,853.17x = 514,948,298.67
  5. Step 5: Solve for x
    x = 514,948,298.67/30,853.17
  6. Step 6: Final answer
    x = 16,690.29

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