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Finding the Fourth Proportional to 77,192.25, 106,525.31 and 41,864.25

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Solution

The fourth proportional to 77,192.25, 106,525.31 and 41,864.25 is: 57,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,192.25 : 106,525.31 = 41,864.25 : x
  2. Step 2: Convert to fraction form
    77,192.25/106,525.31 = 41,864.25/x
  3. Step 3: Cross multiply
    77,192.25x = 106,525.31 × 41,864.25
  4. Step 4: Simplify right side
    77,192.25x = 4,459,601,999.85
  5. Step 5: Solve for x
    x = 4,459,601,999.85/77,192.25
  6. Step 6: Final answer
    x = 57,772.67

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1.5x scale

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.