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Finding the Fourth Proportional to 97,913.94, 146,870.64 and 27,793.32

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Solution

The fourth proportional to 97,913.94, 146,870.64 and 27,793.32 is: 41,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,913.94 : 146,870.64 = 27,793.32 : x
  2. Step 2: Convert to fraction form
    97,913.94/146,870.64 = 27,793.32/x
  3. Step 3: Cross multiply
    97,913.94x = 146,870.64 × 27,793.32
  4. Step 4: Simplify right side
    97,913.94x = 4,082,022,696.12
  5. Step 5: Solve for x
    x = 4,082,022,696.12/97,913.94
  6. Step 6: Final answer
    x = 41,689.90

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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.