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Finding the Fourth Proportional to 76,842, 106,041.96 and 43,308

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Solution

The fourth proportional to 76,842, 106,041.96 and 43,308 is: 59,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842 : 106,041.96 = 43,308 : x
  2. Step 2: Convert to fraction form
    76,842/106,041.96 = 43,308/x
  3. Step 3: Cross multiply
    76,842x = 106,041.96 × 43,308
  4. Step 4: Simplify right side
    76,842x = 4,592,465,203.68
  5. Step 5: Solve for x
    x = 4,592,465,203.68/76,842
  6. Step 6: Final answer
    x = 59,765.04

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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.