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Finding the Fourth Proportional to 47,852.64, 65,993.63 and 29,949.30

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Solution

The fourth proportional to 47,852.64, 65,993.63 and 29,949.30 is: 41,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,852.64 : 65,993.63 = 29,949.30 : x
  2. Step 2: Convert to fraction form
    47,852.64/65,993.63 = 29,949.30/x
  3. Step 3: Cross multiply
    47,852.64x = 65,993.63 × 29,949.30
  4. Step 4: Simplify right side
    47,852.64x = 1,976,462,873.21
  5. Step 5: Solve for x
    x = 1,976,462,873.21/47,852.64
  6. Step 6: Final answer
    x = 41,303.11

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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.