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Finding the Fourth Proportional to 80,416.77, 110,980.16 and 46,431.47

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Solution

The fourth proportional to 80,416.77, 110,980.16 and 46,431.47 is: 64,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,416.77 : 110,980.16 = 46,431.47 : x
  2. Step 2: Convert to fraction form
    80,416.77/110,980.16 = 46,431.47/x
  3. Step 3: Cross multiply
    80,416.77x = 110,980.16 × 46,431.47
  4. Step 4: Simplify right side
    80,416.77x = 5,152,971,969.64
  5. Step 5: Solve for x
    x = 5,152,971,969.64/80,416.77
  6. Step 6: Final answer
    x = 64,078.33

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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.