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Finding the Fourth Proportional to 76,456.75, 105,510.32 and 42,922.75

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Solution

The fourth proportional to 76,456.75, 105,510.32 and 42,922.75 is: 59,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,456.75 : 105,510.32 = 42,922.75 : x
  2. Step 2: Convert to fraction form
    76,456.75/105,510.32 = 42,922.75/x
  3. Step 3: Cross multiply
    76,456.75x = 105,510.32 × 42,922.75
  4. Step 4: Simplify right side
    76,456.75x = 4,528,793,087.78
  5. Step 5: Solve for x
    x = 4,528,793,087.78/76,456.75
  6. Step 6: Final answer
    x = 59,233.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.