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Finding the Fourth Proportional to 76,400.94, 105,428.31 and 42,407.82

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Solution

The fourth proportional to 76,400.94, 105,428.31 and 42,407.82 is: 58,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400.94 : 105,428.31 = 42,407.82 : x
  2. Step 2: Convert to fraction form
    76,400.94/105,428.31 = 42,407.82/x
  3. Step 3: Cross multiply
    76,400.94x = 105,428.31 × 42,407.82
  4. Step 4: Simplify right side
    76,400.94x = 4,470,984,793.38
  5. Step 5: Solve for x
    x = 4,470,984,793.38/76,400.94
  6. Step 6: Final answer
    x = 58,520.02

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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.