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Finding the Fourth Proportional to 76,346.81, 105,358.86 and 42,355.97

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Solution

The fourth proportional to 76,346.81, 105,358.86 and 42,355.97 is: 58,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346.81 : 105,358.86 = 42,355.97 : x
  2. Step 2: Convert to fraction form
    76,346.81/105,358.86 = 42,355.97/x
  3. Step 3: Cross multiply
    76,346.81x = 105,358.86 × 42,355.97
  4. Step 4: Simplify right side
    76,346.81x = 4,462,576,186.60
  5. Step 5: Solve for x
    x = 4,462,576,186.60/76,346.81
  6. Step 6: Final answer
    x = 58,451.38

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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.