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Finding the Fourth Proportional to 111,047.60, 166,581.42 and 36,148.32

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Solution

The fourth proportional to 111,047.60, 166,581.42 and 36,148.32 is: 54,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,047.60 : 166,581.42 = 36,148.32 : x
  2. Step 2: Convert to fraction form
    111,047.60/166,581.42 = 36,148.32/x
  3. Step 3: Cross multiply
    111,047.60x = 166,581.42 × 36,148.32
  4. Step 4: Simplify right side
    111,047.60x = 6,021,638,476.21
  5. Step 5: Solve for x
    x = 6,021,638,476.21/111,047.60
  6. Step 6: Final answer
    x = 54,225.74

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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.