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Finding the Fourth Proportional to 32,290.89, 48,391.22 and 15,646.50

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Solution

The fourth proportional to 32,290.89, 48,391.22 and 15,646.50 is: 23,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.89 : 48,391.22 = 15,646.50 : x
  2. Step 2: Convert to fraction form
    32,290.89/48,391.22 = 15,646.50/x
  3. Step 3: Cross multiply
    32,290.89x = 48,391.22 × 15,646.50
  4. Step 4: Simplify right side
    32,290.89x = 757,153,262.85
  5. Step 5: Solve for x
    x = 757,153,262.85/32,290.89
  6. Step 6: Final answer
    x = 23,447.89

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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.