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Finding the Fourth Proportional to 76,400.82, 105,430.41 and 42,410.79

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Solution

The fourth proportional to 76,400.82, 105,430.41 and 42,410.79 is: 58,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400.82 : 105,430.41 = 42,410.79 : x
  2. Step 2: Convert to fraction form
    76,400.82/105,430.41 = 42,410.79/x
  3. Step 3: Cross multiply
    76,400.82x = 105,430.41 × 42,410.79
  4. Step 4: Simplify right side
    76,400.82x = 4,471,386,978.12
  5. Step 5: Solve for x
    x = 4,471,386,978.12/76,400.82
  6. Step 6: Final answer
    x = 58,525.38

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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.