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Finding the Fourth Proportional to 76,634.84, 114,802.80 and 43,253.92

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Solution

The fourth proportional to 76,634.84, 114,802.80 and 43,253.92 is: 64,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634.84 : 114,802.80 = 43,253.92 : x
  2. Step 2: Convert to fraction form
    76,634.84/114,802.80 = 43,253.92/x
  3. Step 3: Cross multiply
    76,634.84x = 114,802.80 × 43,253.92
  4. Step 4: Simplify right side
    76,634.84x = 4,965,671,126.98
  5. Step 5: Solve for x
    x = 4,965,671,126.98/76,634.84
  6. Step 6: Final answer
    x = 64,796.52

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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.