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Finding the Fourth Proportional to 53,458.40, 80,187.60 and 46,546.40

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Solution

The fourth proportional to 53,458.40, 80,187.60 and 46,546.40 is: 69,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,458.40 : 80,187.60 = 46,546.40 : x
  2. Step 2: Convert to fraction form
    53,458.40/80,187.60 = 46,546.40/x
  3. Step 3: Cross multiply
    53,458.40x = 80,187.60 × 46,546.40
  4. Step 4: Simplify right side
    53,458.40x = 3,732,444,104.64
  5. Step 5: Solve for x
    x = 3,732,444,104.64/53,458.40
  6. Step 6: Final answer
    x = 69,819.60

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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.