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Finding the Fourth Proportional to 76,881.42, 106,096.26 and 43,347.42

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Solution

The fourth proportional to 76,881.42, 106,096.26 and 43,347.42 is: 59,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881.42 : 106,096.26 = 43,347.42 : x
  2. Step 2: Convert to fraction form
    76,881.42/106,096.26 = 43,347.42/x
  3. Step 3: Cross multiply
    76,881.42x = 106,096.26 × 43,347.42
  4. Step 4: Simplify right side
    76,881.42x = 4,598,999,142.65
  5. Step 5: Solve for x
    x = 4,598,999,142.65/76,881.42
  6. Step 6: Final answer
    x = 59,819.38

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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.