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Finding the Fourth Proportional to 111,319.32, 166,980.80 and 32,437.86

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Solution

The fourth proportional to 111,319.32, 166,980.80 and 32,437.86 is: 48,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,319.32 : 166,980.80 = 32,437.86 : x
  2. Step 2: Convert to fraction form
    111,319.32/166,980.80 = 32,437.86/x
  3. Step 3: Cross multiply
    111,319.32x = 166,980.80 × 32,437.86
  4. Step 4: Simplify right side
    111,319.32x = 5,416,499,813.09
  5. Step 5: Solve for x
    x = 5,416,499,813.09/111,319.32
  6. Step 6: Final answer
    x = 48,657.32

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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.