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Finding the Fourth Proportional to 76,096.95, 105,055.65 and 56,969.79

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Solution

The fourth proportional to 76,096.95, 105,055.65 and 56,969.79 is: 78,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096.95 : 105,055.65 = 56,969.79 : x
  2. Step 2: Convert to fraction form
    76,096.95/105,055.65 = 56,969.79/x
  3. Step 3: Cross multiply
    76,096.95x = 105,055.65 × 56,969.79
  4. Step 4: Simplify right side
    76,096.95x = 5,984,998,318.81
  5. Step 5: Solve for x
    x = 5,984,998,318.81/76,096.95
  6. Step 6: Final answer
    x = 78,649.65

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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.