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Finding the Fourth Proportional to 32,517.98, 48,762.38 and 14,992.82

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Solution

The fourth proportional to 32,517.98, 48,762.38 and 14,992.82 is: 22,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.98 : 48,762.38 = 14,992.82 : x
  2. Step 2: Convert to fraction form
    32,517.98/48,762.38 = 14,992.82/x
  3. Step 3: Cross multiply
    32,517.98x = 48,762.38 × 14,992.82
  4. Step 4: Simplify right side
    32,517.98x = 731,085,379.78
  5. Step 5: Solve for x
    x = 731,085,379.78/32,517.98
  6. Step 6: Final answer
    x = 22,482.50

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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.