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Finding the Fourth Proportional to 77,706.52, 116,391.30 and 48,131.80

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Solution

The fourth proportional to 77,706.52, 116,391.30 and 48,131.80 is: 72,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706.52 : 116,391.30 = 48,131.80 : x
  2. Step 2: Convert to fraction form
    77,706.52/116,391.30 = 48,131.80/x
  3. Step 3: Cross multiply
    77,706.52x = 116,391.30 × 48,131.80
  4. Step 4: Simplify right side
    77,706.52x = 5,602,122,773.34
  5. Step 5: Solve for x
    x = 5,602,122,773.34/77,706.52
  6. Step 6: Final answer
    x = 72,093.34

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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.