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Finding the Fourth Proportional to 76,604.47, 114,827.46 and 29,206.81

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Solution

The fourth proportional to 76,604.47, 114,827.46 and 29,206.81 is: 43,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,604.47 : 114,827.46 = 29,206.81 : x
  2. Step 2: Convert to fraction form
    76,604.47/114,827.46 = 29,206.81/x
  3. Step 3: Cross multiply
    76,604.47x = 114,827.46 × 29,206.81
  4. Step 4: Simplify right side
    76,604.47x = 3,353,743,841.01
  5. Step 5: Solve for x
    x = 3,353,743,841.01/76,604.47
  6. Step 6: Final answer
    x = 43,780.00

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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.