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Finding the Fourth Proportional to 97,683.60, 146,525.40 and 47,771.40

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Solution

The fourth proportional to 97,683.60, 146,525.40 and 47,771.40 is: 71,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,683.60 : 146,525.40 = 47,771.40 : x
  2. Step 2: Convert to fraction form
    97,683.60/146,525.40 = 47,771.40/x
  3. Step 3: Cross multiply
    97,683.60x = 146,525.40 × 47,771.40
  4. Step 4: Simplify right side
    97,683.60x = 6,999,723,493.56
  5. Step 5: Solve for x
    x = 6,999,723,493.56/97,683.60
  6. Step 6: Final answer
    x = 71,657.10

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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.