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Finding the Fourth Proportional to 65,672.48, 98,654.52 and 40,730.96

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Solution

The fourth proportional to 65,672.48, 98,654.52 and 40,730.96 is: 61,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,672.48 : 98,654.52 = 40,730.96 : x
  2. Step 2: Convert to fraction form
    65,672.48/98,654.52 = 40,730.96/x
  3. Step 3: Cross multiply
    65,672.48x = 98,654.52 × 40,730.96
  4. Step 4: Simplify right side
    65,672.48x = 4,018,293,307.94
  5. Step 5: Solve for x
    x = 4,018,293,307.94/65,672.48
  6. Step 6: Final answer
    x = 61,186.87

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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.