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Finding the Fourth Proportional to 76,551.52, 114,804.96 and 29,793.28

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Solution

The fourth proportional to 76,551.52, 114,804.96 and 29,793.28 is: 44,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,551.52 : 114,804.96 = 29,793.28 : x
  2. Step 2: Convert to fraction form
    76,551.52/114,804.96 = 29,793.28/x
  3. Step 3: Cross multiply
    76,551.52x = 114,804.96 × 29,793.28
  4. Step 4: Simplify right side
    76,551.52x = 3,420,416,318.67
  5. Step 5: Solve for x
    x = 3,420,416,318.67/76,551.52
  6. Step 6: Final answer
    x = 44,681.23

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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.