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Finding the Fourth Proportional to 97,928.94, 146,893.14 and 27,808.32

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Solution

The fourth proportional to 97,928.94, 146,893.14 and 27,808.32 is: 41,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,928.94 : 146,893.14 = 27,808.32 : x
  2. Step 2: Convert to fraction form
    97,928.94/146,893.14 = 27,808.32/x
  3. Step 3: Cross multiply
    97,928.94x = 146,893.14 × 27,808.32
  4. Step 4: Simplify right side
    97,928.94x = 4,084,851,442.92
  5. Step 5: Solve for x
    x = 4,084,851,442.92/97,928.94
  6. Step 6: Final answer
    x = 41,712.40

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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.