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Finding the Fourth Proportional to 32,590.50, 44,975.43 and 17,686.50

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Solution

The fourth proportional to 32,590.50, 44,975.43 and 17,686.50 is: 24,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,590.50 : 44,975.43 = 17,686.50 : x
  2. Step 2: Convert to fraction form
    32,590.50/44,975.43 = 17,686.50/x
  3. Step 3: Cross multiply
    32,590.50x = 44,975.43 × 17,686.50
  4. Step 4: Simplify right side
    32,590.50x = 795,457,942.70
  5. Step 5: Solve for x
    x = 795,457,942.70/32,590.50
  6. Step 6: Final answer
    x = 24,407.66

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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.