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Finding the Fourth Proportional to 76,606.84, 114,878.82 and 29,239.18

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Solution

The fourth proportional to 76,606.84, 114,878.82 and 29,239.18 is: 43,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,606.84 : 114,878.82 = 29,239.18 : x
  2. Step 2: Convert to fraction form
    76,606.84/114,878.82 = 29,239.18/x
  3. Step 3: Cross multiply
    76,606.84x = 114,878.82 × 29,239.18
  4. Step 4: Simplify right side
    76,606.84x = 3,358,962,496.17
  5. Step 5: Solve for x
    x = 3,358,962,496.17/76,606.84
  6. Step 6: Final answer
    x = 43,846.77

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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.