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Finding the Fourth Proportional to 76,326.75, 105,334.16 and 42,792.75

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Solution

The fourth proportional to 76,326.75, 105,334.16 and 42,792.75 is: 59,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,326.75 : 105,334.16 = 42,792.75 : x
  2. Step 2: Convert to fraction form
    76,326.75/105,334.16 = 42,792.75/x
  3. Step 3: Cross multiply
    76,326.75x = 105,334.16 × 42,792.75
  4. Step 4: Simplify right side
    76,326.75x = 4,507,538,161.38
  5. Step 5: Solve for x
    x = 4,507,538,161.38/76,326.75
  6. Step 6: Final answer
    x = 59,055.81

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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.