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Finding the Fourth Proportional to 76,050.49, 114,095.18 and 31,662.49

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Solution

The fourth proportional to 76,050.49, 114,095.18 and 31,662.49 is: 47,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050.49 : 114,095.18 = 31,662.49 : x
  2. Step 2: Convert to fraction form
    76,050.49/114,095.18 = 31,662.49/x
  3. Step 3: Cross multiply
    76,050.49x = 114,095.18 × 31,662.49
  4. Step 4: Simplify right side
    76,050.49x = 3,612,537,495.80
  5. Step 5: Solve for x
    x = 3,612,537,495.80/76,050.49
  6. Step 6: Final answer
    x = 47,501.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.