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Finding the Fourth Proportional to 83,674.98, 125,503.29 and 24,511.23

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Solution

The fourth proportional to 83,674.98, 125,503.29 and 24,511.23 is: 36,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,674.98 : 125,503.29 = 24,511.23 : x
  2. Step 2: Convert to fraction form
    83,674.98/125,503.29 = 24,511.23/x
  3. Step 3: Cross multiply
    83,674.98x = 125,503.29 × 24,511.23
  4. Step 4: Simplify right side
    83,674.98x = 3,076,240,006.95
  5. Step 5: Solve for x
    x = 3,076,240,006.95/83,674.98
  6. Step 6: Final answer
    x = 36,764.16

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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.