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Finding the Fourth Proportional to 80,408.16, 110,970 and 46,876.32

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Solution

The fourth proportional to 80,408.16, 110,970 and 46,876.32 is: 64,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,408.16 : 110,970 = 46,876.32 : x
  2. Step 2: Convert to fraction form
    80,408.16/110,970 = 46,876.32/x
  3. Step 3: Cross multiply
    80,408.16x = 110,970 × 46,876.32
  4. Step 4: Simplify right side
    80,408.16x = 5,201,865,230.40
  5. Step 5: Solve for x
    x = 5,201,865,230.40/80,408.16
  6. Step 6: Final answer
    x = 64,693.25

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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.