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Finding the Fourth Proportional to 46,656.60, 69,906.90 and 32,780.76

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Solution

The fourth proportional to 46,656.60, 69,906.90 and 32,780.76 is: 49,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.60 : 69,906.90 = 32,780.76 : x
  2. Step 2: Convert to fraction form
    46,656.60/69,906.90 = 32,780.76/x
  3. Step 3: Cross multiply
    46,656.60x = 69,906.90 × 32,780.76
  4. Step 4: Simplify right side
    46,656.60x = 2,291,601,311.24
  5. Step 5: Solve for x
    x = 2,291,601,311.24/46,656.60
  6. Step 6: Final answer
    x = 49,116.34

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1.5x scale

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.