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Finding the Fourth Proportional to 80,417.14, 110,980.73 and 46,431.90

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Solution

The fourth proportional to 80,417.14, 110,980.73 and 46,431.90 is: 64,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,417.14 : 110,980.73 = 46,431.90 : x
  2. Step 2: Convert to fraction form
    80,417.14/110,980.73 = 46,431.90/x
  3. Step 3: Cross multiply
    80,417.14x = 110,980.73 × 46,431.90
  4. Step 4: Simplify right side
    80,417.14x = 5,153,046,273.37
  5. Step 5: Solve for x
    x = 5,153,046,273.37/80,417.14
  6. Step 6: Final answer
    x = 64,078.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.