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Finding the Fourth Proportional to 88,696, 122,400.64 and 48,952

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Solution

The fourth proportional to 88,696, 122,400.64 and 48,952 is: 67,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,696 : 122,400.64 = 48,952 : x
  2. Step 2: Convert to fraction form
    88,696/122,400.64 = 48,952/x
  3. Step 3: Cross multiply
    88,696x = 122,400.64 × 48,952
  4. Step 4: Simplify right side
    88,696x = 5,991,756,129.28
  5. Step 5: Solve for x
    x = 5,991,756,129.28/88,696
  6. Step 6: Final answer
    x = 67,553.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.