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Finding the Fourth Proportional to 68,466.96, 102,632.40 and 47,646.72

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Solution

The fourth proportional to 68,466.96, 102,632.40 and 47,646.72 is: 71,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,466.96 : 102,632.40 = 47,646.72 : x
  2. Step 2: Convert to fraction form
    68,466.96/102,632.40 = 47,646.72/x
  3. Step 3: Cross multiply
    68,466.96x = 102,632.40 × 47,646.72
  4. Step 4: Simplify right side
    68,466.96x = 4,890,097,225.73
  5. Step 5: Solve for x
    x = 4,890,097,225.73/68,466.96
  6. Step 6: Final answer
    x = 71,422.73

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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.