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Finding the Fourth Proportional to 30,998.08, 42,776.94 and 16,851.16

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Solution

The fourth proportional to 30,998.08, 42,776.94 and 16,851.16 is: 23,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.08 : 42,776.94 = 16,851.16 : x
  2. Step 2: Convert to fraction form
    30,998.08/42,776.94 = 16,851.16/x
  3. Step 3: Cross multiply
    30,998.08x = 42,776.94 × 16,851.16
  4. Step 4: Simplify right side
    30,998.08x = 720,841,060.25
  5. Step 5: Solve for x
    x = 720,841,060.25/30,998.08
  6. Step 6: Final answer
    x = 23,254.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.