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Finding the Fourth Proportional to 76,562.31, 114,866.78 and 39,148.67

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Solution

The fourth proportional to 76,562.31, 114,866.78 and 39,148.67 is: 58,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,562.31 : 114,866.78 = 39,148.67 : x
  2. Step 2: Convert to fraction form
    76,562.31/114,866.78 = 39,148.67/x
  3. Step 3: Cross multiply
    76,562.31x = 114,866.78 × 39,148.67
  4. Step 4: Simplify right side
    76,562.31x = 4,496,880,894.11
  5. Step 5: Solve for x
    x = 4,496,880,894.11/76,562.31
  6. Step 6: Final answer
    x = 58,734.92

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Why These Related Problems?

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