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Finding the Fourth Proportional to 97,664.60, 146,477.70 and 32,000.60

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Solution

The fourth proportional to 97,664.60, 146,477.70 and 32,000.60 is: 47,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,664.60 : 146,477.70 = 32,000.60 : x
  2. Step 2: Convert to fraction form
    97,664.60/146,477.70 = 32,000.60/x
  3. Step 3: Cross multiply
    97,664.60x = 146,477.70 × 32,000.60
  4. Step 4: Simplify right side
    97,664.60x = 4,687,374,286.62
  5. Step 5: Solve for x
    x = 4,687,374,286.62/97,664.60
  6. Step 6: Final answer
    x = 47,994.61

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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.