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Finding the Fourth Proportional to 76,860, 106,066.80 and 41,532

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Solution

The fourth proportional to 76,860, 106,066.80 and 41,532 is: 57,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,860 : 106,066.80 = 41,532 : x
  2. Step 2: Convert to fraction form
    76,860/106,066.80 = 41,532/x
  3. Step 3: Cross multiply
    76,860x = 106,066.80 × 41,532
  4. Step 4: Simplify right side
    76,860x = 4,405,166,337.60
  5. Step 5: Solve for x
    x = 4,405,166,337.60/76,860
  6. Step 6: Final answer
    x = 57,314.16

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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.