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Finding the Fourth Proportional to 76,422.50, 105,472.78 and 42,888.50

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Solution

The fourth proportional to 76,422.50, 105,472.78 and 42,888.50 is: 59,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.50 : 105,472.78 = 42,888.50 : x
  2. Step 2: Convert to fraction form
    76,422.50/105,472.78 = 42,888.50/x
  3. Step 3: Cross multiply
    76,422.50x = 105,472.78 × 42,888.50
  4. Step 4: Simplify right side
    76,422.50x = 4,523,569,325.03
  5. Step 5: Solve for x
    x = 4,523,569,325.03/76,422.50
  6. Step 6: Final answer
    x = 59,191.59

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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.