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Finding the Fourth Proportional to 30,705.16, 46,053.16 and 8,516.22

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Solution

The fourth proportional to 30,705.16, 46,053.16 and 8,516.22 is: 12,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.16 : 46,053.16 = 8,516.22 : x
  2. Step 2: Convert to fraction form
    30,705.16/46,053.16 = 8,516.22/x
  3. Step 3: Cross multiply
    30,705.16x = 46,053.16 × 8,516.22
  4. Step 4: Simplify right side
    30,705.16x = 392,198,842.26
  5. Step 5: Solve for x
    x = 392,198,842.26/30,705.16
  6. Step 6: Final answer
    x = 12,773.06

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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.