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Finding the Fourth Proportional to 76,404, 105,440.76 and 42,870

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Solution

The fourth proportional to 76,404, 105,440.76 and 42,870 is: 59,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,404 : 105,440.76 = 42,870 : x
  2. Step 2: Convert to fraction form
    76,404/105,440.76 = 42,870/x
  3. Step 3: Cross multiply
    76,404x = 105,440.76 × 42,870
  4. Step 4: Simplify right side
    76,404x = 4,520,245,381.20
  5. Step 5: Solve for x
    x = 4,520,245,381.20/76,404
  6. Step 6: Final answer
    x = 59,162.42

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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.