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Finding the Fourth Proportional to 77,193, 106,526.34 and 41,865

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Solution

The fourth proportional to 77,193, 106,526.34 and 41,865 is: 57,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,193 : 106,526.34 = 41,865 : x
  2. Step 2: Convert to fraction form
    77,193/106,526.34 = 41,865/x
  3. Step 3: Cross multiply
    77,193x = 106,526.34 × 41,865
  4. Step 4: Simplify right side
    77,193x = 4,459,725,224.10
  5. Step 5: Solve for x
    x = 4,459,725,224.10/77,193
  6. Step 6: Final answer
    x = 57,773.70

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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.