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Finding the Fourth Proportional to 76,863, 106,070.94 and 41,535

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Solution

The fourth proportional to 76,863, 106,070.94 and 41,535 is: 57,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,863 : 106,070.94 = 41,535 : x
  2. Step 2: Convert to fraction form
    76,863/106,070.94 = 41,535/x
  3. Step 3: Cross multiply
    76,863x = 106,070.94 × 41,535
  4. Step 4: Simplify right side
    76,863x = 4,405,656,492.90
  5. Step 5: Solve for x
    x = 4,405,656,492.90/76,863
  6. Step 6: Final answer
    x = 57,318.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.