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Finding the Fourth Proportional to 30,805.32, 46,207.98 and 12,094.17

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Solution

The fourth proportional to 30,805.32, 46,207.98 and 12,094.17 is: 18,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.32 : 46,207.98 = 12,094.17 : x
  2. Step 2: Convert to fraction form
    30,805.32/46,207.98 = 12,094.17/x
  3. Step 3: Cross multiply
    30,805.32x = 46,207.98 × 12,094.17
  4. Step 4: Simplify right side
    30,805.32x = 558,847,165.48
  5. Step 5: Solve for x
    x = 558,847,165.48/30,805.32
  6. Step 6: Final answer
    x = 18,141.26

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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.