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Finding the Fourth Proportional to 76,344, 105,359.58 and 42,810

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Solution

The fourth proportional to 76,344, 105,359.58 and 42,810 is: 59,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344 : 105,359.58 = 42,810 : x
  2. Step 2: Convert to fraction form
    76,344/105,359.58 = 42,810/x
  3. Step 3: Cross multiply
    76,344x = 105,359.58 × 42,810
  4. Step 4: Simplify right side
    76,344x = 4,510,443,619.80
  5. Step 5: Solve for x
    x = 4,510,443,619.80/76,344
  6. Step 6: Final answer
    x = 59,080.53

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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.