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Finding the Fourth Proportional to 97,994.52, 146,996.64 and 27,878.76

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Solution

The fourth proportional to 97,994.52, 146,996.64 and 27,878.76 is: 41,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,994.52 : 146,996.64 = 27,878.76 : x
  2. Step 2: Convert to fraction form
    97,994.52/146,996.64 = 27,878.76/x
  3. Step 3: Cross multiply
    97,994.52x = 146,996.64 × 27,878.76
  4. Step 4: Simplify right side
    97,994.52x = 4,098,084,047.37
  5. Step 5: Solve for x
    x = 4,098,084,047.37/97,994.52
  6. Step 6: Final answer
    x = 41,819.52

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1.5x scale

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.