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Finding the Fourth Proportional to 45,829.60, 68,744.40 and 32,466.40

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Solution

The fourth proportional to 45,829.60, 68,744.40 and 32,466.40 is: 48,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,829.60 : 68,744.40 = 32,466.40 : x
  2. Step 2: Convert to fraction form
    45,829.60/68,744.40 = 32,466.40/x
  3. Step 3: Cross multiply
    45,829.60x = 68,744.40 × 32,466.40
  4. Step 4: Simplify right side
    45,829.60x = 2,231,883,188.16
  5. Step 5: Solve for x
    x = 2,231,883,188.16/45,829.60
  6. Step 6: Final answer
    x = 48,699.60

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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.