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Finding the Fourth Proportional to 76,355.38, 105,365.67 and 46,122.84

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Solution

The fourth proportional to 76,355.38, 105,365.67 and 46,122.84 is: 63,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,355.38 : 105,365.67 = 46,122.84 : x
  2. Step 2: Convert to fraction form
    76,355.38/105,365.67 = 46,122.84/x
  3. Step 3: Cross multiply
    76,355.38x = 105,365.67 × 46,122.84
  4. Step 4: Simplify right side
    76,355.38x = 4,859,764,386.58
  5. Step 5: Solve for x
    x = 4,859,764,386.58/76,355.38
  6. Step 6: Final answer
    x = 63,646.65

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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.