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Finding the Fourth Proportional to 77,702.05, 116,553.10 and 34,957.54

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Solution

The fourth proportional to 77,702.05, 116,553.10 and 34,957.54 is: 52,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702.05 : 116,553.10 = 34,957.54 : x
  2. Step 2: Convert to fraction form
    77,702.05/116,553.10 = 34,957.54/x
  3. Step 3: Cross multiply
    77,702.05x = 116,553.10 × 34,957.54
  4. Step 4: Simplify right side
    77,702.05x = 4,074,409,276.60
  5. Step 5: Solve for x
    x = 4,074,409,276.60/77,702.05
  6. Step 6: Final answer
    x = 52,436.32

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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.