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Finding the Fourth Proportional to 77,348.60, 116,022.90 and 52,772.60

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Solution

The fourth proportional to 77,348.60, 116,022.90 and 52,772.60 is: 79,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,348.60 : 116,022.90 = 52,772.60 : x
  2. Step 2: Convert to fraction form
    77,348.60/116,022.90 = 52,772.60/x
  3. Step 3: Cross multiply
    77,348.60x = 116,022.90 × 52,772.60
  4. Step 4: Simplify right side
    77,348.60x = 6,122,830,092.54
  5. Step 5: Solve for x
    x = 6,122,830,092.54/77,348.60
  6. Step 6: Final answer
    x = 79,158.90

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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.