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Finding the Fourth Proportional to 76,506.60, 105,576.30 and 42,517.20

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Solution

The fourth proportional to 76,506.60, 105,576.30 and 42,517.20 is: 58,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.60 : 105,576.30 = 42,517.20 : x
  2. Step 2: Convert to fraction form
    76,506.60/105,576.30 = 42,517.20/x
  3. Step 3: Cross multiply
    76,506.60x = 105,576.30 × 42,517.20
  4. Step 4: Simplify right side
    76,506.60x = 4,488,808,662.36
  5. Step 5: Solve for x
    x = 4,488,808,662.36/76,506.60
  6. Step 6: Final answer
    x = 58,672.18

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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.