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Finding the Fourth Proportional to 76,402.96, 114,609.96 and 31,985.04

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Solution

The fourth proportional to 76,402.96, 114,609.96 and 31,985.04 is: 47,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,402.96 : 114,609.96 = 31,985.04 : x
  2. Step 2: Convert to fraction form
    76,402.96/114,609.96 = 31,985.04/x
  3. Step 3: Cross multiply
    76,402.96x = 114,609.96 × 31,985.04
  4. Step 4: Simplify right side
    76,402.96x = 3,665,804,155.00
  5. Step 5: Solve for x
    x = 3,665,804,155.00/76,402.96
  6. Step 6: Final answer
    x = 47,979.87

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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.