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Finding the Fourth Proportional to 32,466.76, 48,701.96 and 15,841.00

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Solution

The fourth proportional to 32,466.76, 48,701.96 and 15,841.00 is: 23,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.76 : 48,701.96 = 15,841.00 : x
  2. Step 2: Convert to fraction form
    32,466.76/48,701.96 = 15,841.00/x
  3. Step 3: Cross multiply
    32,466.76x = 48,701.96 × 15,841.00
  4. Step 4: Simplify right side
    32,466.76x = 771,487,789.44
  5. Step 5: Solve for x
    x = 771,487,789.44/32,466.76
  6. Step 6: Final answer
    x = 23,762.39

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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.