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Finding the Fourth Proportional to 30,415.52, 41,973.08 and 16,985.92

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Solution

The fourth proportional to 30,415.52, 41,973.08 and 16,985.92 is: 23,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.52 : 41,973.08 = 16,985.92 : x
  2. Step 2: Convert to fraction form
    30,415.52/41,973.08 = 16,985.92/x
  3. Step 3: Cross multiply
    30,415.52x = 41,973.08 × 16,985.92
  4. Step 4: Simplify right side
    30,415.52x = 712,951,379.03
  5. Step 5: Solve for x
    x = 712,951,379.03/30,415.52
  6. Step 6: Final answer
    x = 23,440.38

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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.