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Finding the Fourth Proportional to 110,941.60, 166,412.40 and 32,058.40

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Solution

The fourth proportional to 110,941.60, 166,412.40 and 32,058.40 is: 48,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,941.60 : 166,412.40 = 32,058.40 : x
  2. Step 2: Convert to fraction form
    110,941.60/166,412.40 = 32,058.40/x
  3. Step 3: Cross multiply
    110,941.60x = 166,412.40 × 32,058.40
  4. Step 4: Simplify right side
    110,941.60x = 5,334,915,284.16
  5. Step 5: Solve for x
    x = 5,334,915,284.16/110,941.60
  6. Step 6: Final answer
    x = 48,087.60

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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.