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Finding the Fourth Proportional to 76,503.93, 114,708.92 and 26,562.57

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Solution

The fourth proportional to 76,503.93, 114,708.92 and 26,562.57 is: 39,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,503.93 : 114,708.92 = 26,562.57 : x
  2. Step 2: Convert to fraction form
    76,503.93/114,708.92 = 26,562.57/x
  3. Step 3: Cross multiply
    76,503.93x = 114,708.92 × 26,562.57
  4. Step 4: Simplify right side
    76,503.93x = 3,046,963,584.31
  5. Step 5: Solve for x
    x = 3,046,963,584.31/76,503.93
  6. Step 6: Final answer
    x = 39,827.54

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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.