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Finding the Fourth Proportional to 76,834, 106,030.94 and 41,506

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Solution

The fourth proportional to 76,834, 106,030.94 and 41,506 is: 57,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,834 : 106,030.94 = 41,506 : x
  2. Step 2: Convert to fraction form
    76,834/106,030.94 = 41,506/x
  3. Step 3: Cross multiply
    76,834x = 106,030.94 × 41,506
  4. Step 4: Simplify right side
    76,834x = 4,400,920,195.64
  5. Step 5: Solve for x
    x = 4,400,920,195.64/76,834
  6. Step 6: Final answer
    x = 57,278.29

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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.