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Finding the Fourth Proportional to 55,107, 76,047.48 and 29,956.32

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Solution

The fourth proportional to 55,107, 76,047.48 and 29,956.32 is: 41,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,107 : 76,047.48 = 29,956.32 : x
  2. Step 2: Convert to fraction form
    55,107/76,047.48 = 29,956.32/x
  3. Step 3: Cross multiply
    55,107x = 76,047.48 × 29,956.32
  4. Step 4: Simplify right side
    55,107x = 2,278,102,646.07
  5. Step 5: Solve for x
    x = 2,278,102,646.07/55,107
  6. Step 6: Final answer
    x = 41,339.62

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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.