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Finding the Fourth Proportional to 111,804.48, 167,680.80 and 32,897.60

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Solution

The fourth proportional to 111,804.48, 167,680.80 and 32,897.60 is: 49,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,804.48 : 167,680.80 = 32,897.60 : x
  2. Step 2: Convert to fraction form
    111,804.48/167,680.80 = 32,897.60/x
  3. Step 3: Cross multiply
    111,804.48x = 167,680.80 × 32,897.60
  4. Step 4: Simplify right side
    111,804.48x = 5,516,295,886.08
  5. Step 5: Solve for x
    x = 5,516,295,886.08/111,804.48
  6. Step 6: Final answer
    x = 49,338.77

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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.