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Finding the Fourth Proportional to 95,730.64, 132,110.32 and 53,291.90

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Solution

The fourth proportional to 95,730.64, 132,110.32 and 53,291.90 is: 73,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,730.64 : 132,110.32 = 53,291.90 : x
  2. Step 2: Convert to fraction form
    95,730.64/132,110.32 = 53,291.90/x
  3. Step 3: Cross multiply
    95,730.64x = 132,110.32 × 53,291.90
  4. Step 4: Simplify right side
    95,730.64x = 7,040,409,962.41
  5. Step 5: Solve for x
    x = 7,040,409,962.41/95,730.64
  6. Step 6: Final answer
    x = 73,543.96

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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.